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The mean life of a television set is 119 months with a standard deviation of 13 months. If a sample of 67 televisions is randomly selected, what is the probability that the sample mean would differ from the true mean by less than 2 months? Round your answer to four decimal places.

Answers

Answer 1

Answer:

The probability that the sample mean would differ from the true mean by less than 2 months is 0.7923.

n=67μ=119σ=13

The probability that the sample mean would differ from the true mean by less than 2 months.

$P(|X-u| < 2)=P(((119-2)-119)/(13/√(67) ) < \frac{X-u}{sigma/{√(n) } } < ((119+2)-119)/(13/√(67) ) )$

$=P((-2)/(0.6247) < Z < (2)/(0.6247) )$

$=P(-1.26 < Z < 1.26)$

$=P(Z < 1.26)-P(Z < -1.26)$

$=(0.896165-0.103835)=0.792331=0.7923$

Hence, the answer is 0.7923

What is probability explain?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it

What are the basic concepts of probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

How do you calculate probability?

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

To learn more about probability, refer

brainly.com/question/10734660

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Answer 2

Answer:

Answer:

Provided in the picture below.

Step-by-step explanation:

Provided in the picture below.

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The amount is 2.88 is ( percent of what price?

Answers

Answer:

Discount = Original Price x Discount %/100

Discount = 2.88 × 1/100

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2344x24553 math question please answer

Answers

Answer:

57552232

Step-by-step explanation:

Please answer this in two minutes

Answers

Hey there! :)

Answer:

m = 1/2.

Step-by-step explanation:

Find the slope using the slope formula:

$m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)$

Points on the graph we can use are:

(0, 3) and (2, 4)

Plug these into the formula:

$m = (4-3)/(2-0)$

Simplify:

$m = (1)/(2)$

Therefore, the slope is 1/2.

Answer:

1/2

Step-by-step explanation:

Rise over run solution:

choose a point and go 1 unit up and 2 to the right!

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Solve the following equation for X.
2x - 18y = - 8

Answers

Answer:

x = 9y - 4

Step-by-step explanation:

2x - 18y = - 8 /: 2

x - 9y = - 4

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Maurice says that 1079 divided by 62= 16 with a remainder of 87. Without seeing his work how can you tell that Maurice divided incorrectly

Answers

the remainder is bigger than what you're dividing with

David is having a cookout. Hot dogs and buns are sold based on the following quantities per package.Item
Amount Per Package
Hot dog buns
12
Hot dogs
10
A
David thought that he would have to buy 12 packages of hot dog buns and 10 packages of hot dogs to have one bun for each hot dog.
What is the LEAST amount of each David would need to buy to have an equal number of hot dogs and buns?
David should buy 2 packages of buns and 2 packages of hot dogs,
David should buy 6 packages of buns and 5 packages of hot dogs.
с David should buy 5 packages of buns and 6 packages of hot dogs,
D David should buy 22 packages of buns and 22 packages of hot dogs
B

Answers

Answer: Choice C) David should buy 5 packages of buns and 6 packages of hot dogs.

========================================================

Explanation:

Focus on the hot dog buns for now

1 package = 12 hot dog buns

2 packages = 24 hot dog buns (multiply both sides by 2)

3 packages = 36 hot dog buns (multiply original equation by 3)

We can see that the multiples of 12 are being listed. So we have

12, 24, 36, 48, 60, 72, 84, ...

as the possible number of hot dog buns we could get if we buy 1,2,3... packages.

The possible number of hot dogs we can get are

10, 20, 30, 40, 50, 60, 70, 80, ...

which are multiples of 10. Simply add 10 to each item to get the next one.

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

Considering these two sets

12, 24, 36, 48, 60, 72, 84, ...

10, 20, 30, 40, 50, 60, 70, 80, ...

what is the lowest common multiple? That would be 60 since it is found in both lists and it is the smallest in common.

The LCM of 12 and 10 is 60.

If he wanted 60 hot dog buns, then 60/12 = 5 packages of buns is what he needs.

If he wanted 60 hot dogs, then he needs 60/10 = 6 packages of hot dogs.

Therefore, David should buy 5 packages of buns and 6 packages of hot dogs. The answer is choice C.

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

Side note: a different way to find the LCM is to multiply 10 and 12 to get 10*12 = 120. Then we divide by the GCF 2 getting 120/2 = 60.

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