A commuter train from Long Island to NYC is scheduled to arrive at 8

A commuter train from Long Island to NYC is scheduled to arrive at 8.07 am. every weekday morning. The probability that the train arrives on time is 0.8. Suppose 25 weekdays are randomly selected. a. What probability distribution describes the number of days that the train will arrive on time? Name: Parameters: b. Find the mean and standard deviation of the number of days that the train will arrive on time. Mean: Standard deviation: c. What is the probability that the train will be on time more than 20 days? d. Find the probability that the train will arrive on time at least 20 days but not more than 24 days. e.Suppose that the train arrives on time on 13 days (out of 25). Is there any evidence to suggest that the reported probability that the train arrives on time is wrong? Justify your answer with calculations.