The probability distribution was used along with statistical software to simulat

Question

The 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 on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated? Compute the theoretical standard deviation of the random variable X for the given probability distribution. sigma_X = (Round to three decimal places as needed.) Approximate the mean of the random variable X based on the simulation for 25 games. mu_X almostequalto hits (Round to three decimal places as needed.)

Explanation / Answer

from above std deviation of X =(4.134-1.71942)1/2 =1.0852

and mean =1.7194

please revert for doubt

x P(x) xP(X) x^2P(X) 0 0.1534 0 0 1 0.2605 0.2605 0.2605 2 0.3431 0.6862 1.3724 3 0.2034 0.6102 1.8306 4 0.0355 0.142 0.568 5 0.0041 0.0205 0.1025 1.7194 4.134

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