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 variable X based 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?

x     P(x)0    0.21031     0.23942    0.34333    0.07864    0.06355    0.0649