(Answered)MATH225N Week 5 Assignment: Understanding Normal Distribution

Question

Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

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Question

Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

Question

Rosetta averages 148 points per bowling game with a standard deviation of 14 points. Suppose Rosetta’s points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(148,14).

If necessary, round to three decimal places.

Question

Suppose X∼N(12.5,1.5), and x=11. Find and interpret the z-score of the standardized normal random variable.

Question

Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

Question

Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

Question

Suppose X∼N(16.5,0.5), and x=16. Find and interpret the z-score of the standardized normal random variable.

Question

John averages 58 words per minute on a typing test with a standard deviation of 11 words per minute. Suppose John’s words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then X∼N(58,11).

If necessary, round to three decimal places.

Solution:

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