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m the probability distribution to the right the random variable X represents the number of hits a paseball player obtained in a game over the course of a season Complete parts a through f below a Verify that this is a discrete probability distribution This is a discrete probability distribution because and the of the probabilities is Type whole numbers Use ascending order b Draw a graph of the probability distribution Describe the shape of the distribution Graph the probability distribution Choose the correct graph below O A 0 4 0 3 0 2 0 1 0 0 1 2 3 4 5 Number of Hits Q The distribution Q OB 0 4 0 3 0 2 0 1 0 Describe the shape of the distribution GULLOR 0 1 2 3 4 5 Number of Hits and is Q O C G Do not round 0 4 0 3 0 2 0 1 c Compute and interpret the mean of the random variable X Hx hits Type an integer or a decimal Do not round Which of the following interpretations of the mean is correct 012345 Number of Hits Q O D Q 0 4 0 3 X P x 0 1661 0 3357 0 2878 3 0 1492 4 0 0364 0 0248 between and inclusive 0 0 2 0 1 o 1 2 5 012345 Number of Hits Q B OA The observed number of hits per game will be equal to the mean number of hits per game for most games OB In any number of games one would expect the mean number of hits per game to be the mean of the random variable OC Over the course of many games one would expect the mean number of hits per game to be the mean of the random variable OD The observed number of hits per game will be less than the mean number of hits per game for most games d Compute the standard deviation of the random variable X 0x hits Round to three decimal places as needed e What is the probability that in a randomly selected game the player got 2 hits

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