The lengths of mature jalapeno fruits are normally distributed with a mean of 3 inches and a standard deviation of 1 inch.
a) What is the probability that a randomly selected mature jalapeno fruit is between 1.5 and 4 inches long?
b) Find the 90th percentile of the jalapeno fruit length distribution
c) If a random sample of 100 mature jalapeno fruits is selected, what is the standard deviation of the sample mean?