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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?

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