The diameter of a brand of Ping-Pong balls is approximately basically distributed with mean of 1.31 inches and standard deviation of 0.04 inch. A random sample of 4 ping -pong balls is chosen. Complete the following questions
a. Determine the probability that sample mean is less than 1.27 inches?
P(X<1.27)=_____ (Round to four decimal places as needed)
b. Determine the probability that the sample is between 1.27 and 1.31 inches?
P(1.27
c. The probability is 57% that sample mean will be between what two values, symmetrically distributed around population mean?
The lower bound is _______inches and the upper bound is _________inches?
(Round to two decimal places as needed)