Standard deviation

Question

a sample size of 125 will be drawn from a population with mean 50 and standard deviation 17. the probability that x will be greater than 52 is

Answer 1

Mean = 50

Standard Deviation = 17

X = 52

n = 125

P(X>52) = (52-50)/(17/√125) = 2/1.52 = 1.32 (Use the z-score from whatever statistics textbook you have)

P(z>1.32) = 1 - P(z≤1.32) = 1 - 0.9066 = 0.0934