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The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball...
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The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season.x012345P(x)| 0.1670 |0.3320 0.2864 0.1499 0.0381 |0.0266The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded.Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of theexperiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What propertyis being illustrated?Click the icon to view the data tables.Compute the theoretical mean of the random variable X for the given probability distribution.Hx =hitsiData TablesX(Round to three decimal places as needed.)Table of the numbers of hits for 25 games4 2 1 1 22 0 2 2 02 2 1 2 12 3 3 2 120Table of the numbers of hits for 50 games422222202230111033Enter your answer in the answer box and then click Check3213231