Question

a.) Given a normal distribution with population standard deviation of 21 and a mean of μ...

a.) Given a normal distribution with population standard deviation of 21 and a mean of μ = 29. If a random sample of size 62 is drawn, find P(29 ≤ x ≤ 31).
Round to three decimal places.

b.) Find the positive z value such that 89% of the standard normal curve lies between –z and z. (Use 2 decimal places.)

c.) For a standard normal curve, find the area between z = 0.28 and z = 1.95. (Use 4 decimal places.)

d.) If the coefficient of variation is 1.2% and the mean is 1.8, determine the standard deviation. (Enter your answer as a decimal number to 4 places.)

e.) Find the mean of a binomial distribution when the sample size is 214 and q = 30%.

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