A manufacturer produces widgets whose lengths are normallydistributed with a mean of 8.7 cm and standard deviation of 2.5cm.
A. If a widget is selected at random, what is the probability itis greater than 9.1 cm.?
B. What is the standard deviation of the average of samples ofsize 34 ?
C. What is the probability the average of a sample of size 34 isgreater than 9.1 cm? Round answer to four decimal places.