Question


Given that z is a standard normal random variable, compute the following probabilities. (Round your answers to four decimal places.)

(a)

P(0 ≤ z ≤ 0.86)

(b)

P(−1.54 ≤ z ≤ 0)

(c)

P(z > 0.44)

(d)

P(z ≥ −0.22)

(e)

P(z < 1.30)

(f)

P(z ≤ −0.75)

Also..

A population has a mean of 128 and a standard deviation of 32. Suppose a sample of size 64 is selected and

x

is used to estimate μ. (Round your answers to four decimal places.)

(a)

What is the probability that the sample mean will be within ±5 of the population mean?

(b)

What is the probability that the sample mean will be within ±10 of the population mean?

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