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(CORRECT ANSWER) MATH225N Week 5 Assignment : Understanding Normal Distribution

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1.Question

The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the largest standard deviation.

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2.Question

Gail averages 64 words per minute on a typing test with a standard deviation of 9.5 words per minute. Suppose Gail’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(64,9.5).

If necessary, round to three decimal places.

Provide your answer below:

3.Question

The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the largest mean.

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4.Question

Annie averages 23 points per basketball game with a standard deviation of 4 points. Suppose Annie’s points per basketball game are normally distributed. Let X= the number of points per basketball game. Then X∼N(23,4).

Provide your answer below:

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5.Question

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

6.Question

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

Correct answer:

7.Question

Lexie averages 149 points per bowling game with a standard deviation of 14 points. Suppose Lexie’s points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(149,14).

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8.Question

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

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9.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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10.Question

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

Correct answer:

11.Question

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

Ans:

12.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).

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13.Question

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

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14.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).

Ans:

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