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Probability and set theory answers

05/05/2021 Client: muhammad11 Deadline: 2 Day

Module 4 homework
Subject
Mathematics

Question Description
Problem Set 4.4
1. Suppose that for a normal random variable X, we have a mean of µ=10 and a standard deviation of σ=3.

a) What is the probability that X will be less than 13?
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b) What is the probability that X will be less than 8?
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c) What is the probability that X will be greater than 12?
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d) What is the probability that X will be greater than 6?
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e) What is the probability that X will be between than 3 and 17?
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f) What is the probability that X will be between than 8 and 14?
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2. A farmer harvests several heads of iceberg lettuce. The weight of the heads of lettuce are normally distributed with a mean weight of 2.2 pounds and a standard deviation of .55 pounds. If you choose a head of lettuce at random, what is the probability that the head you chose will weigh:

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