Question

Use an appropriate normal random variable.

1. Find the value of Z such that the area to the right of the Z is 0.72.

2. The middle 99% of the standard normal distribution is contained between -Z and Z. Find these values.

3. Suppose that the area that can be painted using a single can of spray paint is slightly variable and follows a normal distribution with a mean of 25 square feet and a standard deviation of 3 square feet. What is the probability that the area covered by a can of spray paint is between 21 and 26 square feet?

Answer 1

1) p(z>c) = 0.72

2) z= 2.58

-z= -2.58

p(-2.58<z<2.58) = 0.99

3)

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