MATH 225N Week 5 Assignment; Understanding Normal Distribution

1. Question: John averages 58 words per minute on a typing test with a standard deviation of 11words 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). 2. 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. 3. Question: Isabella averages 152 points per bowling game with a standard deviation of 14.5points. Suppose Isabella's points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(152,14.5). 4. 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 standard deviation. 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. 7. Question: Rosetta averages 148 points per bowling game with a standard deviation of 14points. Suppose Rosetta's points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(148,14). 8. Question: Suppose X∼N(16.5,0.5), and x=16. Find and interpret the z-score of the standardized normal random variable.