A sports announcer researched the performance of baseball players in the World Series.The random variable × represents the number ofhits a plaver had in the series. a. Use the frequency distribution to construct a probability distribution by filling in the third row. Leave your answer as a fraction. Hits X 23456 Plavers7 741 Probabilities P(X) (2.5pts) b. Find the mean, the variance and the standard deviation of the probability distribution. First write down the formula then use your calculator to find them. Give the results with fourdecimalplaces. Mean u= Variance o? = Standard deviation o =
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Given data: | Hits (X) | 2 | 3 | 4 | 5 | 6 | |----------|---|---|---|---|---| | Players | 7 | 7 | 4 | 1 | 1 | --- Show more…
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A sports announcer researched the performance of baseball players in the World Series. The random variable x represents the number of of hits a player had in the series. Use the frequency distribution to construct a probability distribution.
Satish Y.
In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (e) below. x P(x) 0 0.1687 1 0.3356 2 0.2851 3 0.1501 4 0.0368 5 0.0237 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because all of the probabilities are between 0 and 1, inclusive, and the sum of the probabilities is 1. (b) Compute and interpret the mean of the random variable X. μx = 1.678 hits (c) Compute the standard deviation of the random variable X. σx = 1.080 hits (d) What is the probability that in a randomly selected game, the player got 2 hits? 0.2851 (e) What is the probability that in a randomly selected game, the player got more than 1 hit? 0.4956
Joshua A.
In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. x P(x) 0 0.1685 1 0.3358 2 0.2828 3 0.1501 4 0.0374 5 0.0254 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because all of the probabilities are between 0 and 1, inclusive, and the sum of the probabilities is 1. (b) Draw a graph of the probability distribution. Describe the shape of the distribution. Graph the probability distribution. Choose the correct graph below. A. 0 1 2 3 4 5 0 0.1 0.2 0.3 0.4 Number of Hits Probability The graph of a probability distribution has a horizontal x-axis labeled "Number of Hits" from 0 to 5 in intervals of 1 and a vertical y-axis labeled "Probability" from 0 to 0.4 in intervals of 0.05. Vertical line segments are centered on each of the horizontal axis tick marks. The approximate heights of the vertical line segments are as follows, with the horizontal coordinate listed first and the line height listed second: 0, 0.15; 1, 0.04; 2, 0.03; 3, 0.17; 4, 0.34; 5, 0.28. (c) Compute and interpret the mean of the random variable X. μx = 0.1666 hits The mean represents the average number of hits per game over the course of a season. (d) Compute the standard deviation of the random variable X. σx = nothing hits (e) What is the probability that in a randomly selected game, the player got 2 hits? nothing (f) What is the probability that in a randomly selected game, the player got more than 1 hit? nothing
Adi S.
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