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1. Identify each of the random variables described below as discrete or continuous. a. The number of cartons of ice cream sold at Wal-Mart in
1. Identify each of the random variables described below as discrete or continuous. a. The number of cartons of ice cream sold at Wal-Mart in Hays today. b. The amount of time it takes to play a football game. c. The number of pitches the starting pitcher for the Royals pitches in a game. 2. The incomplete probability distribution table at the right is of the discrete random variable x representing the number of colds a person gets in one year. Answer the following: x P(X=x) (a) Determine the value that is missing in the table. (Hint: what are the requirments for a probability distribution?) 0 0.05 1 0.11 2 0.18 (b) Find the probability that x is at most 4, that is findP(x 4) 3 0.27 4 5 0.09 (c) Find P(x 5). Describe what the resulting value represents within the given context of the problem. 6 0.05 7 0.02 8 0.01 (d) Expand the table above by adding columns to the right and find the mean (expected value) and standard deviation of this probability distribution. Label the column headings for columns you add. 3. (a) What is meant by the term "expected value"? (b) Suppose the expected value of a $2 lottery ticket is -$1.95. Does this mean that you will lose exactly $1.95 every time you buy a $2 ticket? Explain why. 4. List the 5 requirements needed for an experiment/procedure to be considered a binomial distribution.
| 1. | Identify each of the random variables described below as discrete or continuous. | ||||||
| a. | The number of cartons of ice cream sold at Wal-Mart in Hays today. | ||||||
| b. | The amount of time it takes to play a football game. | ||||||
| c. | The number of pitches the starting pitcher for the Royals pitches in a game. | ||||||
| 2. | The incomplete probability distribution table at the right is of the discrete random variable x representing the number of colds a person gets in one year. Answer the following: | ||||||
| x | P(X=x) | ||||||
| (a) | Determine the value that is missing in the table. (Hint: what are the requirments for a probability distribution?) | 0 | 0.05 | ||||
| 1 | 0.11 | ||||||
| 2 | 0.18 | ||||||
| (b) | Find the probability that x is at most 4, that is findP(x 4) | 3 | 0.27 | ||||
| 4 | |||||||
| 5 | 0.09 | ||||||
| (c) | Find P(x 5). Describe what the resulting value represents within the given context of the problem. | 6 | 0.05 | ||||
| 7 | 0.02 | ||||||
| 8 | 0.01 | ||||||
| (d) | Expand the table above by adding columns to the right and find the mean (expected value) and standard deviation of this probability distribution. Label the column headings for columns you add. | ||||||
| 3. | (a) | What is meant by the term "expected value"? | |||||
| (b) | Suppose the expected value of a $2 lottery ticket is -$1.95. Does this mean that you will lose exactly $1.95 every time you buy a $2 ticket? Explain why. | ||||||
| 4. | List the 5 requirements needed for an experiment/procedure to be considered a binomial distribution. | ||||||
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Statistics For Engineers And Scientists
Authors: William Navidi
3rd Edition
73376345, 978-0077417581, 77417585, 73376337, 978-0073376332
