Question

Mark noticed that the probability that a certain player hits a home run in a single game is 0.175. Mark is interested in the variability of the number of home runs if this player plays 200 games. If Mark uses the normal approximation of the binomial distribution to model the number of home runs, what is the standard deviation for a total of 200 games? Answer choices are rounded to the hundredths place.

Answer 1

For large number of experiments (n) , the Binomial distribution with parameters n, p can be approximately follow the Normal distribution. The mean of normal distribution is "np", and standard deviation is square root of (no(1-p)).