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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