# (Solved) Math225 Week 5 Assignment: Understanding Normal Distribution

Math225 Week 5 Assignment: Understanding Normal Distribution Questions

Question

Suppose X∼N(18,2), and x=22. Find and interpret the z-score of the standardized normal random variable.

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 smallest mean.

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(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

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

# Solution:

Suppose X∼N(18,2), and x=22. Find and interpret the z-score of the standardized normal random variable.

Answer: The z-score when x=22 is 2. The mean is 18.

This z-score tells you that x=22 is 2 standard deviations to the right of the mean.

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 smallest mean…Please click the icon below to download at \$5