4.DETAILSMY NOTESASK YOUR TEACHERA Honeycrisp apple has a weight, X, which are normally distributed with a mean of µ = 0.75 pounds and a standard deviation of σ = 0.15 pounds. We randomly select 49 Honeycrisp applesand weigh them. Let M be the sample mean of the selected apples. Let S be the total weight of the selected apples.a) What is the probability that X > 0.45?b) What is the probability that X < 0.45?c) What is the probability that each of the 49 selected apples weighs more than 0.45 pounds?d) What is the expected value of S?e) What is the standard deviation of S?f) What is the probability that S > 35 pounds. ?g) What is the standard deviation of S - 0.05?h) What is the expected value of M?i) What is the standard deviation of M?j) What is the probability that M >0.73 pounds?k) What is the standard deviation of 9M?1) If the probability of X > k is equal to .1, then what is k?m) Add any comments below.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n¡ = 47 customers in the first line and n2 = 49 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.6 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i
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