Mating eagle pairs typically have two baby eagles (called eaglets). When there are two eaglets, the parents always feed the older eaglet until it has had its fill, and then they feed the younger eaglet. This results in an unequal chance of survival for the two eaglets. Suppose that the older eaglet has a 50 percent chance of survival. If the older eaglet survives, the younger eaglet has a 10 percent chance of survival. If the older eaglet does not survive, the younger eaglet has a 30 percent chance of survival. Let X be the number of eaglets that survive. Which of the following tables shows the probability distribution of X?A. x 0 1 2 p(x) 1/3 1/3 1/3B. x 0 1 2 p(x) 1/4 1/2 1/4C. x 0 1 2 p(x) 0.35 0.60 0.05D. x 0 1 2 p(x) 0.05 0.90 0.05E. x 0 1 2 p(x) 0.10 0.30 0.50

Answers

Answer 1

Answer:

C. x 0 1 2 p(x) 0.35 0.60 0.05

Step-by-step explanation:

50% chance of survival

Let:

x = older eaglet survive

y = younger eaglet survive

Hence,

P(x = 0) (none of the eaglet survive)

P(x = 1) (only one survive)

P(x = 2) (both survive)

P(x) = 0.5

P(x') = 1 - 0.5 = 0.5

P(x n y) = 0.5 * 0.1 = 0.05 ( both survive)

P(only one survive)

P(y n x') + p(y' n x)

(0.5 * 0.3) + (0.5 * (1 - 0.1))

0.15 + 0.45 = 0.6

P(none survives)

1 - (0.60 + 0.05)

= 0.35

X _______ 0 ______ 1 ______ 2

P(x) ____ 0.35 ____ 0.60 ___ 0.05

Answer 2

The probability distribution of the number of eaglets is the set of the

probabilities of the number of surviving eaglets.

The table that shows the probability distribution is the option C;

[tex]C. \ \overline{\underline{\begin{array}{|c|c|c|c|}x&0&1&2\\P(x)&0.35&0.60&0.05\end{array}\right] }}[/tex]

Reasons:

The probability that the older eaglet survives P(O) = 0.5

Therefore;

The probability that the older eaglet does not survives P(O') = 1 - 0.5 = 0.5

The chance of survival of the younger eaglet, where the older eaglet survives P(Y|O) = 10%

Therefore;

The chance that the younger eaglet does not survive, where the older eaglet survives P(Y'|O) = 1 - 10% = 90%

The chance of survival of the younger eaglet, where the older eaglet does not survives P(Y|O') = 30%

Therefore;

The chance that the younger eaglet does not survive, where the older eaglet does not survives P(Y'|O') = 1 - 30% = 70%

The probability distribution, P(X) is the set of possible probability of the number of eaglets that survive, which is given as follows;

The set of possible outcomes are;

Non survives:

The probability that non of the eaglets survives = P(O') × P(Y'|O') = 0.5 × 0.7 = 0.35

Only one survives:

The probability that only one of the eaglet survives = P(O) × P(Y'|O) + P(O') × P(Y|O'), which gives; P = 0.5 × 0.9 + 0.5 × 0.3 = 0.6

Both survives:

The probability that both of the eaglet survives = P(O) × P(Y|O) = 0.5 × 0.1 = 0.05

The table of the probability distribution is therefore;

[tex]C. \ \overline{\underline{\begin{array}{|c|c|c|c|}x&0&1&2\\P(x)&0.35&0.60&0.05\end{array}\right] }}[/tex]

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Related Questions

Mason is a 16-year-old sophomore in high school and just started his first job. He wants to open a savings account. Which of these will he need to bring to the local bank branch in order to start an account? *

Answers

Answer:

An adult cosigner reason been that he is under 18

Step-by-step explanation:

Based on the information give, since we were told that he is 16 years old in which he want to open a savings account which means that he will need to bring AN ADULT COSIGNER to the local bank branch in order to start an account reason been that he is under 18.

Hence, AN ADULT COSIGNER can either be his parent, his close family member or his friend who will stand for him because he is under 18.

HELP! i'll mark you the brainliest !

Answers

Answer:

I'm sure it has to be 90

Step-by-step explanation:

because 90 is a right degree angle, it looks like a 90 degree angle and it's shaped like one so I would say 90

Find the value of the line integral for f(x,y,z) = (x^2)+y-z over the path connecting the line segments (1,1,1) and (0,1,1)

Answers

Answer:

(b) Along the straight line from (0, 0, 0) to (0, 1, 1), x = 0, y = 0, dx = 0, dy = 0, while z ... 6(1)(1)}dx + {2(1)+3x(1)} + {1 – 4x(1)(19°30 = S (3x' – 6)dx=-5 ... (c) The straight line joining (0,0,0) and (1, 1, 1) is given in parametric form by x = 1, y = 1, z = 1. ... From this it follows that the line integral around any closed path in R is zero, ...

Step-by-step explanation:

Answer:

R is zero

Step-by-step explanation:


the 2 bottom boxes pls. i’ll mark you FAST

Answers

4/2 for the first one
14/2 for the second one
Simplified it would be
2/1 for the first
7/1 for the second

Answer:

The bottom left is linear, and its slope is -2.

The bottom left is linear, and its slope is 7.  

Step-by-step explanation:

The rate of change is consistent for both, so they are linear.  Every time you go up one, the y value increases a certain amount, and it's the same at every point.  

What's the distance of (-2, 0), (3, -5) plz help thank you

Answers

Answer:

4

Step-by-step explanation:

Answer:

The Distance Formula itself is actually derived from the Pythagorean Theorem which is {a^2} + {b^2} = {c^2}a  

2

+b  

2

=c  

2

 where cc is the longest side of a right triangle (also known as the hypotenuse) and aa and bb are the other shorter sides (known as the legs of a right triangle).

The very essence of the Distance Formula is to calculate the length of the hypotenuse of the right triangle which is represented by the letter cc.

a green right triangle with hypotenuse c (distance between two red dots) and legs a and b.

That’s why we can claim that the idea of the Distance Formula is borrowed and derived from the Pythagorean Theorem. If you want to see how the Distance Formula is derived from the Pythagorean Theorem, please check out my lesson on How to Derive the Distance Formula.

Need help plz ASAP plz 10 points

Answers

Answer:

i think its b

Step-by-step explanation:

Help Me fast!!!!!!!!!!!!

Answers

Answer:

12.25 i think sorry if im wrong

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Can someone please answer ASAP!!!

A square and regular hexagon have the sane perimeter.

The perimeter of the hexagon is 6(x-1) cm

The perimeter of the square is 4x cm.
Find the perimeter of each figure by writing and solving an equation for the variable, x


What is the value of x?
What is the perimeter of each figure?

Answers

Answer: (6 cm) or 36 cm.

Step-by-step explanation:The perimeter of a regular hexagon is just the sum of all 6 sides. Because it's a regular hexagon, the perimemter is just six times one side (6 cm) or 36 cm.

The value of x from the given situation is 3 units.

Given that, the perimeter of the hexagon is 6(x-1) cm.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Here, the regular hexagon has 6 equal sides

The perimeter of regular hexagon = The perimeter of the square

So, 6(x-1)=4x

⇒ 6x-6=4x

⇒ 6x-2x=6

⇒ 2x=6

⇒ x=3 units

Therefore, the value of x from the given situation is 3 units.

To learn more about the perimeter visit:

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#SPJ2

what is -3 divided by one sixth

Answers

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

- divided by one sixth

On a test, Alice had 80% of the problems right. If she had
20 problems correct, how many questions were on the test?
Show work please

Answers

Answer: she would get 100%

Step-by-step explanation: every correct question u get 5 points so 20 * 5 = 100

Answer:

25

Step-by-step explanation:

80% = 0.80

0.80x = 20

0.80x/0.80 = 20/0.80

x = 25

So there was 25 questions on the test

Find all the missing angles:
57
72
3
4
72
51
57
123
18
39
Column 7
Measure
of angle 1
Measure
of angle 2
Measure
of angle 3
of angle 4

Answers

Step-by-step explanation:

this is the answer in the picture

Parallelogram or not ?Practice worksheet

Answers

Almost likely a Parallelogram

Answer:

yes

Step-by-step explanation:

it has 4 sides, and it's oposite sides are parallel, so therefore, it is a paralellogram

Find the unknown angles marked in the following triangles

Answers

1.180-(57+36)=87 degree


2.180-39=141
141/2=70.5 degrees each

square input of -6????

PLEASE HELP​

Answers

I think it’s 36?!?????

:))))))))))))))))))))))))))))

Answers

Answer:

G. [tex]\frac{6}{3}[/tex] = [tex]\frac{h}{18}[/tex]

Step-by-step explanation:

Hey, I'm not very sure but I just want to give it a try, hopefully it helps. If not, I'm so sorry.

They said the line segment creates two similar triangles. This means that 18 is  like the base of the triangle (just like how 3 is the base of the smaller triangle) and h is like the height of the triangle (just like how 6 is the height of the triangle). Thus, if you put it as a fractional proportion way, it would be:

[tex]\frac{6}{3}[/tex] = [tex]\frac{h}{18}[/tex]

(6 = h and 3 = 18 but in different sizes, proportion stays the same)

You can even try to solve h using  [tex]\frac{6}{3}[/tex] = [tex]\frac{h}{18}[/tex] .

2 =  [tex]\frac{h}{18}[/tex]

h = 2 × 18

h = 36

PS: Pls let me know if the answer is correct when you know, I wanna know too :> tks.

On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer :

H0 : u = 21.62    ( Null hypothesis )

H1 : u = 21.62   ( alternative hypothesis )

Step-by-step explanation:

Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62

H0 : u = 21.62    ( Null hypothesis )

H1 : u = 21.62   ( alternative hypothesis )

The designers of a standardized test are interested in knowing how long people take, on average, to complete the writing portion of the test. They decide to conduct an observation study at a testing facility. To avoid bias in their study, they create a list of the test takers scheduled to take the test this week. Then, they randomly select 50 test takers from the list to be part of the study. In this situation, what does the list of test takers represent?

a control group


the frame


the population

Answers

Answer:

the frame

Step-by-step explanation:

What is 147.15 rounded to the nearest hundredth

Answers

Answer:

147.15

Step-by-step explanation:

There ya go, mate.

Answer: 147.15

To round 147.15 to the nearest hundredth consider the thousandths’ value of 147.15, which is 0 and less than 5. Therefore, the hundredths’ value of 147.15 remains 5.

147.15 rounded to the nearest hundredth = 147.15

Which two estimates is the quotient 345÷8 between

Need help I need to do this right now!

Answers

Answer: Okay, well first lets find the quotient 345 ÷ 8:

It is 43. 125, but we're going to simplify it to 43

Now this is the really easy part, so lets find a number greater than 43, which would be 44.

Now that we have that, we need to find a decimal that's lower than 43, which would be 42.

So our numbers would be 44 and 42.

Step-by-step explanation:

The twice the sum of x and 4 equals -12.

Answers

Answer:

If the sum of a number and 4 is (X + 4) then twice that is 2(X + 4) which is 2X + 8

Step-by-step explanation:

How many solutions does the system of equations below have?

y= 3x + 4
2y -8 = 6x

Answers

Answer:

infinitely many solutions (infinite solutions)

Step-by-step explanation:

2y - 8 = 6x

   +8    +8

-------------------------------

2y = 6x + 8

[tex]\frac{2y}{2}[/tex] = [tex]\frac{6x}{2}[/tex] + [tex]\frac{8}{2}[/tex]

-------------------------------

y = 3x + 4

Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.  

Identify the y-intercept for y=−4.

(0,_)

Answers

Since y = -4
The y intercept is (0,-4)

Geometry simple question ​

Answers

Step-by-step explanation:

17 is the answer for the question

What are the intercepts of the graph.

Answers

the answer i B brainiest???

Answer:

B

Step-by-step explanation:

PLS HELP FIRST TO ANSWER Gets BRAINLEST


A number cube was rolled 70 times. The cube is numbered 1-6. How many times would you expect an even number to be rolled.

Answers

35 times, bc there’s a 50/50 chance since there’s 3 odds and 3 evens

Answer:

You would expect an even number to be rolled 35/70 times.

Step-by-step explanation:

Half of a dice is even numbers and half of 70 is 35.

Click the photo to solve

Answers

Answer:

75

Step-by-step explanation:

the value of a triangle is 180 so you add 58 and 47 and you get 105 and the you do 180 - 105 and you get 75

PLSSS HELP ME THIS WOULD MEAN A LOT :((

Answers

Answer:

Option D

Step-by-step explanation:

Increasing intervals represent  the inputs that make the graph  rise, or the intervals where the  function has a positive slope.  Decreasing intervals represent the inputs that make the graph  fall, or the intervals where the  function has a negative slope.

The inputs ( − values) that make () rise are

(-2,∞)

Suppose that a random sample of size 100 is to be selected from a population with mean 50 and standard deviation 8. What is the probability that a sample mean will be greater than 50.8? Round your answer to three decimal places.

Answers

Answer:

0.159

Step-by-step explanation:

Given that:

Sample size (n) = 100

Population mean(pm) = 50

Standard deviation (s) = 8

Probability that Sample mean (m) will be greater Than 50.8

Using the relation :

(sample mean - population mean) / (standard deviation /sqrt(n))

P(m > 50.8)

Z = (50.8 - 50) / (8/ sqrt(100))

Z = 0.8 / (8/ 10)

Z = 0.8 / 0.8

Z = 1

P(Z > 1) = 0.15866 ( Z probability calculator)

Hence,

P(Z > 1) = 0.159 ( 3 decimal places)

The probability that a sample mean will be greater than 50.8 is P(Z > 1) = 0.159.

Given that,

Suppose that a random sample of size 100 is to be selected from a population with a mean of 50 and a standard deviation of 8.

We have to determine,

What is the probability that a sample mean will be greater than 50.8?

According to the question,

Sample size (n) = 100

Population mean(pm) = 50

Standard deviation (s) = 8

The probability that Sample mean (m) will be greater than 50.8.

Therefore,

[tex]\dfrac{(sample \ mean - population \ mean) \times \sqrt{n}}{standard \ deviation}[/tex]

Where P(m > 50.8)

[tex]Z = \dfrac{50.8 - 50 \times \sqrt{100}}{8}\\\\Z =\dfrac{ 0.8 \times 10 }{8}\\\\Z = \dfrac{0.8 }{0.8}\\\\Z = 1[/tex]

P(Z > 1) = 0.15866 ( Z probability calculator)

Hence,  The probability that a sample mean will be greater than 50.8 is P(Z > 1) = 0.159.

To know more about Probability click the link given below.

https://brainly.com/question/11234923

What angle is this need help asap

Answers

it’s an acute angle, but is almost a right angle. it isn’t a right angle because right angles are 90° , and usually have a box to show it.

Answer:

This is an acute angle, I accidently said it was a right angle before

What is the solution to the system of equations?
y = -5x + 3
y = 1

Answers

9514 1404 393

Answer:

  (x, y) = (2/5, 1)

Step-by-step explanation:

Substitute for y and solve for x.

  1 = -5x +3

  -2 = -5x . . . . . . subtract 3

  2/5 = x . . . . . . divide by -5

The solution is (x, y) = (2/5, 1).

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