Apple products have become a household name in America with 51% of all households owning at least one Apple product (CNN, March 19, 2012). The likelihood of owning an Apple product is 61% for households with kids and 48% for households without kids. Suppose there are 1,200 households in a representative community, of which 820 are with kids and the rest are without kids. Let event A correspond to "Household with kids", and B to "Household owns an Apple product". a. Are the events "household with kids" and "household without kids" mutually exclusive and exhaustive? Yes No b. What is the probability that a household is without kids? (Round your answer to 4 decimal places.) c. What is the probability that a household is with kids and owns an Apple product? (Do not round intermediate calculations. Round your answer to 4 decimal places.) d. What is the probability that a household is without kids and does not own an Apple product? (Do not round intermediate calculations. Round your answer to 4 decimal places.)

Answers

Answer 1

Answer:

a. Yes.

b. The probability that a household is without kids:

= 0.3167

c. The probability of a household is with kids and owns an Apple product:

= 61%

d. The probability that a household is without kids and does not own an Apple product:

= 52%

Step-by-step explanation:

a) Data and Calculations:

Probability of a household owning an Apple product = 51%

This implies that the probability of a household not owning an Apple product = 49% (100 - 51)%.

Probability of a household with kids owning an Apple product = 61%

This implies that the probability of a household with kids not owning an Apple product = 39% (100 - 61)%.

Probability of a household without kids owning an Apple product = 48%

This also implies that a household without kids not owning an Apple product = 52% (100 - 48)%.

Sample of households = 1,200

Households with kids = 820

Probability of households with kids = 0.6833 (820/1,200)

Therefore, the probability of households without kids = 0.3167 (380/1200)

b) The events "household with kids" and "household without kids" are mutually exclusive and exhaustive because (a) the two events are separate and do not overlap and (b) the two events are inclusive of all possible options.  It is either a household has kids or it does not.  In this situation, no middle ground exists.


Related Questions

Lisa mixed 1 part of apple juice and 2 parts of vanilla yogurt to make a smoothie. How many parts of apple juice did Lisa mix with each part of vanilla yogurt?

Answers

Lisa mixed a 1/2 (or .5) part of apple juice with each part of vanilla yogurt.

1 divided by 2 is equal to one half (1/2 or 0.5)

What is the answer to 18-4K=-10-4k?

Answers

Answer:

  no solution

Step-by-step explanation:

add 4k to both sides of the equation and you have ...

  18 = -10  . . . .  false

There is no value of k that will make this statement true. There is no solution.

Three times the sum of eight and a number is 81. Find the number.

Answers

Answer:

19

Step-by-step explanation:

81/3=27

27-8=19

19

Solve the equation. Three-fourths times x equals 9. A. x equals 12. B. x equals 108. C. x equals 72. D. x equals four-ninths.

Answers

Answer:

The answer is A.) x = 12

Step-by-step explanation:

I hope this helps!

Answer: 12

Step-by-step explanation:

6. What is the fractional equivalent of 3.15?

Answers

How to Write 3.15 or 315% as a Fraction?

Decimal    Fraction              Percentage

3.3               66/20                        330%

3.25         65/20                          325%

3.2                 64/20                            320%

3.15             63/20                             315%

3.1                   62/20                               310%

3.70588   63/17                          370.588%

3.5              63/18                                         350%

3.31579       63/19                                     331.579%

3              63/21                                         300%

Dmitar buys 2/3 pound of mixed nuts,1/2 pound of chocolate candies, and 1 1/4 of granola how much did dmitar spend to make the trail mix?

Answers

Answer: 11.70

Step-by-step explanation:

Find x and y (round to the nearest tenths is needed)
Picture below.. help

Answers

Answer:

x=11/2

y=11√3/2

Step-by-step explanation:

This is a 30°-60°-90° triangle. So if we call the short side x, then the 2nd longest side will be x√(3), and the hypotenuse is 2x.

So here we have 11 as the hypotenuse. So:

11=2x ---> x=11/2 and y=x√3=11√3/2

You could also just take the sine and cosine of the sides using either angle as well. But this is a common ration of sides that is talked about in Math classes; especially Trig.

Edit: I missed the part where you said you wanted rounded answers. Just plug the values into a calculator and round as needed.

What is |v + 81 – 5 = 2

Answers

Answer:

-1 , -15

Step-by-step explanation:

| v + 8 | - 5 = 2

(add 5 both sides)

| v + 8 | = 7

(create two equations

v + 8 = 7          v + 8 = -7

(subtract 8 both sides)

v = -1     and    v = -15

Last week, Jada ran 2 7/10 miles. This week, she plans to run 5 times as far as last week.
How many miles does Jada plan to run this week?
Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

13.5 miles or 27/5 miles

Step-by-step explanation:

2 7/10 is equal to 2.7  If she plans to run 5 times as much as last week, multiply 2.7 by 5.

2.7*5=13.5

ANYONE THAT IS GOOD AT PRECAL! Inbox me ill CASHAPP YOU!!

Answers

Sorry I'm not that good but I can suggest you a person... Just go friends and search demilade25... It's the exact name demilade25.. He can help you very well

what is the distributive property of (6+9v)6 ?

Answers

Answer:

36 + 54 v

Step-by-step explanation:

Answer:

36+54v

Step-by-step explanation:

times 6x6 and 6x9 then put in the v

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

Answers

Answer:

50 cars

Step-by-step explanation: 3x10 is 30 and 5x10 is 5

6. A high school graduate works fulltime. She needs to borrow $1,500 to
attend the local junior college, but she won't be able to pay it back for
2
years. Calculate how much she will have to pay back with these two
loan plans. Which plan should she choose? Justify your answer,
Bank A: Simple interest, 18 percent per year
Bank B: Compound interest, 12 percent per year

Answers

Answer:

I think you would have to multiply 1,500 by 12 and also by 18 to figure it out.

Step-by-step explanation:

" "

11. The first four terms of an AP, whose first term is -2 and common difference is -2 are​

Answers

Answer:

- 2, - 4, - 6, -8

Step-by-step explanation:

If the first term of the arithmetic sequence is is -2 , and the common difference is -2, then we can generate the first four terms the following way:

a1 = - 2

a2 = - 2 - 2 = - 4

a3 = - 4 - 2 = - 6

a4 = - 6 - 2 = - 8

Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for every liter of water that it receives.

Answers

Answer:

third choice the independent variable is the amount of water given, dependent is the height of the plant

In the following diagram, it is known that EHG is a right angle, m EHF x   1 and m GHF x    5 5.
Find the value of x, the numerical values of m EHF m GHF   and , and mark them on the diagram

Answers

Answer:

Step-by-step explanation:

From the diagram, it can be seen that  m EHF+ m GHF = mEHG

mEHG is a right angle, then mEHG = 90°

Given

m EHF = x

m GHF = 5x

Substituting the given parameters into the formula to get x;

x+5x= 90

6x = 90

Divide both sides by 6;

6x/6 = 90/6

x = 15

Hence the value of x is 15°

Since m EHF = x, therefore the numerical value of m EHF is 15°.

Also since m GHF = 5x, the numerical value of m GHF = 5(15) = 75°

-5 1/2 + 6 3/4 + ( -4 1/4)

Answers

Answer:

8

Step-by-step explanation:

I used a calculator

Jhalen gave a presentation in health class about the importance of supportive sneakers. His presentation was 2/3 the length of Lenayah's presentation on medicine. Jhalen's presentation was 8 minutes. How long was Lenayah's presentation?

Answers

Answer: Lenayah's presentation was 12 minutes long.

Step-by-step explanation:

Set up a proportion. 2/3 = 8/x. Cross multiply. 2x = 24Divide both sides by 2. x =12

1/2x+ y=-7
-3x + 2y = -2
You could produce a pair of like terms with
opposite coefficients by multiplying the first equation by what number

Answers

Answer: 6

explanation: I just did it

Answer:

Step-by-step explanation:

Answer is 6

Identify the initial value, a, and base, b, of the function f(x)=ab^x if its graph passes through the points (0, 4) and (1, 20)

Answers

Answer:

a = 4, b = 5

Step-by-step explanation:

Given the exponential function

f(x) = a[tex]b^{x}[/tex]

Use the given points to find a and b

Using (0, 4 ) , then

4 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus

a = 4 , so

f(x) = 4[tex]b^{x}[/tex]

Using (1, 20 ) , then

20 = 4b ( divide both sides by 4 )

b = 5

1. Given right triangle ABC with the right angle C and sin A = 1/3, which is of the following expression is also equal to 1/3?

A. cos B
B. cos(90° - A)
C. sin(90°- B)
D. Both A and B

2. The maximum slope for a hand propelled wheel chair ramp should be a 1-inch rise to every 12 inch of length. What is that maximum ramp angle recommended to the nearest degree?

Answers

Answer:

1) B

2) About 5°.

Step-by-step explanation:

1)

We can use the following co-function identity:

[tex]\sin(\theta)=\cos(90-\theta)[/tex]

Substitute A for θ:

[tex]\sin(A)=\cos(90-A)[/tex]

Since we know that sin(A) is 1/3, this means that cos(90-A) must also be 1/3.

So, our answer is B.

2)

Refer to the drawing.

Remember that 1-inch rise is a height of 1 while a 12 inch length is a length of 12.

So, to find the maximum ramp angle, we simply need to find the value of x.

We know the sides opposite and adjacent to x. So, we can use tangent:

[tex]\tan(x)=\text{opp}/\text{adj}[/tex]

Substitute 1 for the opposite side and 12 for the adjacent side:

[tex]\tan(x)=1/12[/tex]

Take the inverse tangent of both sides:

[tex]x=\tan^{-1}(1/12)[/tex]

Use a calculator. Make sure you're in Degrees mode:

[tex]x\approx4.76\textdegree\approx5\textdegree[/tex]

So, the maximum ramp angle should be about 5°

Put the following equation of a line into slop-intercept form, simplifying all fractions.
2y - x = -8

Answers

Answer:

y = x/2 - 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation

2y - x = -8

Step 2: Solve for y

Add x to both sides: 2y = x - 8

Divide both sides by 2: y = x/2 - 4

what is the distance between -4 and 8 on a number line

Answers

Answer:

12

Step-by-step explanation:

you can hop 12 times to the right

The distance between -4 and 8 on a number line is 12.

To find the distance between -4 and 8 on a number line, you can subtract the smaller number from the larger number. In this case:

Distance = |8 - (-4)|

To subtract a negative number, you can think of it as adding the absolute value of that negative number:

Distance = |8 + 4|

Now, perform the addition:

Distance = |12|

The absolute value of 12 is 12, so the distance between -4 and 8 on a number line is 12 units.

Hence, the distance between -4 and 8 on a number line is 12.

To learn more on Distance click:

https://brainly.com/question/15172156

#SPJ6

You have 15 marbles in your pocket. 5 are blue, 6 are red, and 4 are green. If you reach into your pocket and pull out a marble, what is the probability that the marble will be red?

Answers

Answer:

2 out of 5 chance of being red

Step-by-step explanation:

What is the value of the 8 in the number 2008277

Answers

Answer:

thousands

Step-by-step explanation:

Answer:

The answer would be the Thousands place.

Step-by-step explanation:

The order goes like this.

ones

tens

hundreds

thousands

ten-thousands

one hundred-thousands

millions

Please add me as brainliest please :)

Which term completes the product so that it is the difference of squares?

(−5x−3)(−5x+________)

Answers

Answer:

3

Step-by-step explanation:

For Edge Users its

C

Answer: C. 3

Step-by-step explanation: Just confirming what the other person wrote :)

Write an Equation using the following arithmetic sequence: 5, _____, ______, -4.

Answers

Answer is 5,2,-1,-4 the reason it multiples of 3

What's the answer to this question?

Answers

Answer: 9.4


Why?: 5+3+2= 10

You then try looking at your 5 options, and choose the one that is closest to 10. 9.4 rounds to 9, but it is closest to 10 out of all the options...


Hope this helped!


True or False: The distance between -7 and -13 dn a number line

Answers

I believe it’s false correct if I’m wrong

Bert's birthday party will cost $246 if he invites 41 guests. How many guests can there be, at most, if Bert can afford to spend a total of $534 on his birthday party? Solve using unit rates. guests​

Answers

89 people can go if he has a budget of $534
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