For a discrete random variable that takes a value of 8 with probability .75 and a value of -4 with probability of .25, what is the expected value and what is the variance

Answers

Answer 1

Answer:

5.20

Step-by-step explanation:

X : ______ 8 ____ - 4

P(X) : ___ 0.75 __ 0.25

The expected mean E(x) :

E(x) = ΣX / n

n = sample size = 2

E(x) = (8*0.75) + (-4*0.25)

E(x) = 6 - 1

E(x) = 5

The standard deviation : sqrt(Var(x))

Var(x) = Σx²p(x) - E(x)²

Var(x) = (8^2 * 0.75) + (-4^2 * 0.25)) - 5^2

Var(x) = ((64 * 0.75) + (16* 0.25)) - 25

Var(x) = (48 + 4) - 25

Var(X) = 27

Standard deviation = sqrt(27)

Standard deviation (x) = 5.1961524

Standard deviation = 5.20


Related Questions

A boat traveled 432 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed of the boat in still water? What is the speed of the current?

Answers

speed of the boat in still water would be (432/12=36) 36mph and the speed of the current should be (432/24=18) 18mph

Rewrite in simplest terms: -2(3g-8g+8)-9g−2(3g−8g+8)−9g

Answers

Answer: 2g - 32

Step-by-step explanation:

-2 (3g - 8g + 8) - 9g - 2 (3g - 8g + 8) - 9g

First step is to use the distributive property to distribute 2.

The expression is now:

-6g + 16g - 16 - 9g - 6g + 16g - 16 - 9g

Now you put the like terms together..

-6g + 16g - 9g - 6g + 16g - 9g -16 - 16

All that is left to do is combine them!

(-6g + 16g - 9g - 6g + 16g - 9g) + (-16 - 16)

2g + (-32)

2g - 32

Hope that helped!

Practice using graphs of equivalent ratios. On a coordinate plane, point (2, 3) is plotted.A 2-column table with 3 rows. Column 1 is labeled x with entries 2, blank, blank. Column 2 is labeled y with entries 3, blank, blank. The table shows one point from the given graph. How could you find more ordered pairs to create a graph and table of equivalent fractions? Check all that apply. Include the point (0, 0), which is on every graph of equivalent ratios. Multiply both 2 and 3 by 4. Multiply 2 by 2 and 3 by 3. Start at the point on the grid. Move right 2 and up 3 and plot the point. Multiply 2 by 3 and 3 by 2.

Answers

Answer:

2

Step-by-step explanation:

if you multiply 2 by 3=6

2×2=43×3=9

Answer:

B: Using the table,multiply 2 and 1 both by 3

Step-by-step explanation:

Just took the quiz on Edge 2021

Which graph represents the function

Answers

Answer:

The Fourth One.

The one with 3 lines, 1 intersecting the origin, one in quadrant 1, one in quadrant 3

hope it helps!

The mean undergraduate cost for tuition, fees, room, and board for four-year institutions was $26,489 for a recent academic year. Suppose that the standard deviation is $3204 and that 36 four-year institutions are randomly selected. Find the probability that the sample mean cost for these 36 schools is Less than $25,000

Answers

Answer:

0.00265

Step-by-step explanation:

We solve using the z score formula

z = (x-μ)/σ/√n

where

x is the raw score = $25,000

μ is the population mean = $26,489

σ is the population standard deviation = $3204

n = random number of samples = 36

For x < 25,000

z = 25000 - 26489/3204/√36

z = 25000 - 26489/3204/6

z = -1489/534

z = -2.78839

Probability value from Z-Table:

P(x<25000) = 0.0026485

Approximately = 0.00265

The probability that the sample mean cost for these 36 schools is Less than $25,000 is 0.00265

Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?

Answers

Step-by-step explanation:

I think 21 dollars is the answer

Find the difference.

Answers

I think I’m not sure -3/20a

in the figure, AC=20cm CD=22cm and AE=16cm find the length of BD.

Answers

Answer:

17.6 cm

Step-by-step explanation:

Area of triangle equals to half of the base times height, i.e. A = 1/2 × b × h.

1/2 x 22 x 16 = 1/2 x 20 x BD

BD = (1/2 x 22 x 16) / (1/2 x 20)

BD = 17.6 cm

Will give Brainliest! Please answer quickly! :) M'N'O'P' has vertices at M'(5, 4), N'(6, 4), O'(6, 7) and P'(3, 7). THe center of dilation is the origin, MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5) and P(4.5, 10.5). What is the algebraic representation of this dilation?

a
(x, y) --> (1/2x, 1/2y)
b
(x, y) --> (3/2x, 3/2y)
c
(x, y) --> (2/3x, 2/3y)
d
(x, y) --> (1/3x, 1/3y)

Answers

Answer:

It might be b

Step-by-step explanation:

I think it is B

I am once again asking for your help with solving this problem.

Answers

Answer:

llll, Vl, Vll

Step-by-step explanation:

find the angle which y= equals to root 3 x -4 makes with yaxis​

Answers

9514 1404 393

Answer:

  30°

Step-by-step explanation:

The angle a line makes with the x-axis is arctan(slope). Here, that is ...

  angle with x-axis = arctan(√3) = 60°

So, the angle made with the y-axis is the complement of this:

  angle with y-axis = 90° -60° = 30°

Consider all four-digit numbers that can be made from the digits 0-9 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group that is less than or equal to 5000

Answers

Answer: 0.44

Step-by-step explanation:

First, let's count the total number of four-digit numbers.

Let's think it as four empty slots:

_ _ _ _

In each slot, we can put a single digit.

In the first slot, we have 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9}

The zero is not an option here, because if there was a 0, this would be a 3 digit number, then the 0 can not be in the first slot.

For the second slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

for the third slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

for the fourth slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

The total number of combinations is equal to the product between the numbers of options for each slot, this means that we have:

Combinations = 9*10*10*10 = 9000

So there are 9000 different 4 digit numbers.

Now we want to find the probability of selecting a number at random that is equal or smaller than 5000.

Let's see the number of 4-digit numbers that are equal or smaller than 5000.

The smallest 4-digit number is 1000.

Then the number of numbers between 1000 and 5000 is:

5000 - 1000 = 4000

This means that there are 4000 4-digit numbers that are equal or smaller than 5000.

Now, the probability of selecting one of them at random is equal to the quotient between the number of 4-digit numbers that meet the condition (4000) and the total number of 4-digits (9000)

Then te probability is:

P = 4000/9000 = 4/9 = 0.44

T

The maximum weight ,w, an elevator can lift is 2,200 pounds. Which inequality represents the situation??

Answers

Answer:

W is less than or equal to 2200

Step-by-step explanation:

(I don't know how to do the less than or equal to symbol on the computer)

The inequality equation is w ≤ 2200 , where w is the maximum amount of weight in an elevator

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Let the maximum weight in an elevator be w

Now , the maximum weight an elevator can lift is given by = 2,200 pounds

So , the inequality relation is given by

w ≤ 2,200 pounds   be equation (1)

Therefore , the value of A is w ≤ 2,200

Hence , the inequality relation is w ≤ 2,200

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ5

Determine the coordinates of the intersection of the diagonals of square ABCD with verticals A(-4,6), B(5,6) C(4,-2), and D(-5,-2)

Answers

Given:

Vertices of a square are A(-4,6), B(5,6) C(4,-2), and D(-5,-2).

To find:

The intersection of the diagonals of square ABCD.

Solution:

We know that diagonals of a square always bisect each other. It means intersection of the diagonals of square is the midpoint of diagonals.

In the square ABCD, AC and BD are two diagonals. So, intersection of the diagonals is the midpoint of both AC and BD.

We can find midpoint of either AC or BD because both will result the same.

Midpoint of A(-4,6) and C(4,-2) is

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4+4}{2},\dfrac{6+(-2)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{6-2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{4}{2}\right)[/tex]

[tex]Midpoint=\left(0,2\right)[/tex]

Therefore, the intersection of the diagonals of square ABCD is (0,2).

Please help me I’m begging u it’s due in 10 minutes!!

Answers

Answer:

y= -1

Step-by-step explanation:

subtract, so x cancels out.

you are left with 2y=-2

y= -1

Answer:

y = - 1

Step-by-step explanation:

x + y = 1 .......... (1)

x - y = 3 .......... (2)

(1) + (2)

2x = 4 ⇒ x = 2

2 + y = 1 ⇒ y = - 1

(2, - 1)

Suppose that Mudlark decides to sell 140 tickets for this flight. Assuming that all 140 tickets are sold and that the outcome for each ticketholder is independent, how many ticketholders should the airline expect to show up

Answers

This question is incomplete, the complete question is;

Lets consider a hypothetical airline, Mudlark Airlines. On one of its flight, previous records show that about 15% of people who had tickets for the flight did not take the flight. There are 120 seats on the plane.

Suppose that Mudlark decides to sell 140 tickets for this flight. Assuming that all 140 tickets are sold and that the outcome for each ticketholder is independent, how many ticketholders should the airline expect to show up

Answer: the airline should expect 119 ticketholders to show up

Step-by-step explanation:

Given that;

the plane contains 120 seats

Their records shows that 15% (0.15) percent of people who previously buy their flight tickets don't show up.

they sold 140 tickets,

Number of ticketholder expected to show up  = ?

Probability of showing up for flight will be;

⇒ 1 - 0.15 = 0.85

Now Expected number of ticketholders to shup will be;

⇒ 140 × 0.85

= 119

Therefore the airline should expect 119 ticketholders to show up

Substitute x=-2 into the expression -2x+4 and simplify

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

-2x+4  equation

step 2

-2(-2)+4  substitute -2 for x

2+2+4

answer

8

If there are 34 successes in a sample with a size of 40, what is the sample
proportion?

Answers

Answer:

Step-by-step explanation:

0.85

Answer:

.85

Step-by-step explanation:

If x=3y substitute the value of x into expression simplify 3x+6

Answers

Answer:

(3y)3+6

Step-by-step explanation:

3
Write the value of the 3 in each number.
a) 3.65
b) 0.093
c) 18.31
d) 72.439
e) 32.701
f) 19.03

Answers

Answer:

A. hundreds

B. ones

C.. tens

D. tens

E. 10,000

F. ones

Answer:

a. units or 3.00

b. thousandths or 0.003

c. tenths or 0.30

d. hundreths or 0.030

e. tens or 30.0

f.hundreths or 0.03

Step-by-step explanation:

I need this it’s due today

Answers

answer
a=9

hope this helps and have a wonderful day :)

i think the answer is 9

Step-by-step explanation:

step 1. simplify both sides of the equation

step 2. add 17 to both sides

step 3. multiply both sides by 3

answer a =9

$2.50 per 1/4 hour. Can someone explain how to solve this?

Answers

10$ an hour so they are making $2.50 every 15 minutes

Answer:

2.50 dollars every 15 minutes

Step-by-step explanation:

Hi please help me answer this :)

Explain answer

Will give braisnlt

Answers

Answer:

There are no solutions

Step-by-step explanation:

No intersections or points that apply for the equations.

A beverage company surveyed 450 adults to determine the demand for summer drinks.
How many people preferred drinking water?

A. 108 people
B. 174 people
C. 247 people
D. 276 people

Answers

Answer:

B

Step-by-step explanation:

total number of people minus people who prefer soda, iced tea, or lemonade= people who prefer water

450-101-67-108=174

Answer:

D: 276 preferred water

Step-by-step explanation:

Can someone help me please? How do I solve this?

Answers

Answer:

i suggest look up a number chart similar to that and place the (4,4) on it

Step-by-step explanation:

im sorry if i couldnt help

Answer:

m is the slope, so it has a slope of 1. it gave you a point so it wants you to plug the point and slope into point-slope form and then solve for the equation to be in slope-intercept form so you can graph it.

point-slope form is: y -y1 = m(x -x1)

plug in the given values and solve

y - 4 = 1(x -4) (use the distributive property to get rid of the parenthesis)

y -4 = 1x - 4 (add 4 to both sides to isolate y)

y = 1x  (1x is the same as x, so it's redundant to write 1x)

y= x (this is the equation of the line)

if you don't know how to graph y=x, whatever the y value is, the y value is. it's a straight line going through the origin.

Step-by-step explanation:

i hope this helped :)

Simplify the expression: -2x + 3 - (5-6x)

Answers

Answer:

4x+3

How: -2x - (-6x) = 4

3 cannot be added there you go

what is x i need it done soon

Answers

Answer:

C. 65

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

180-62-53 = 65

Researchers often enter a lot of data into statistical software programs. The probability of making zero to two errors per 1,000 keystrokes is 0.51, and the probability of making three to five errors per 1,000 keystrokes is 0.25. Find the probabilities (per 1,000 keystrokes) associated with each of the following.

at most 2 errors:
at least 3 errors:
at most 5 errors:
more than 5 errors:

Answers

Answer:

at least 3

Step-by-step explanation:

Solve the inequality. Graph the solution.
p-4<2


help plz

Answers

Answer:

the inequality would be p<6

the graph is below.

Step-by-step explanation:

Here's how to solve the equation:

p-4<2

add 4 to both sides

p<6

The English translation of the inequality would be "p is less than 6".

please see below for the graph.

Hope this helps! :)

Could somebody pls help me with this question

Answers

simplify to 1 hour which will be 6 minutes in 1 hour

in 3 hours it will be 18 minutes

Answer:

18 minutes is the answer

Step-by-step explanation:

•Time couple rested in 2 hrs = 12 min

•Time couple rested in 1 hr = 12/ 2 min = 6min

•Time couple rested in 3 hrs = 6×3 min = 18 min

HOPE IT HELPS YOU

MARK ME AS BRAINIEST

AND YOU CSN THANK ME IN THE COMMENT

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