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# Question 1

For a standard normal distribution, find:

P(Z > -2.13)

Question 2

For a standard normal distribution, find:

P(-1.37

Question 3

For a standard normal distribution, find:

P(Z > c) = 0.8992

Find c.

Question 4

A population of values has a normal distribution with = 200.9 and o = 68.6. You intend to draa random sample of size n = 98.

What is the mean of the distribution of sample means?

What is the standard deviation of the distribution of sample means?

(Report answer accurate to 2 decimal places.)

Question 5

According to a 2009 Reader's Digest article, people throw away about 8% of what they buy at the

grocery store. Assume this is the true proportion and you plan to randomly survey 57 grocery

shoppers to investigate their behavior. What is the probability that the sample proportion does not

exceed 0.15?

Question 6

Find the probability that a single randomly selected value is greater than 25.9.

P(X> 25.9) =

A population of values has a normal distribution with μ = 8.9 and o= 66.1. You intend to draw a random sample of size n = 94. Find the probability that a sample of size n = 94 is randomly selected with a mean greater than 25.9.

P(M> 25.9) =

Question 7

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.8

years, and standard deviation of 3.3 years.

The 5% of items with the shortest lifespan will last less than how many years?
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