Refer to Exercise 80. Would you be surprised if the train arrived on time on fewer than 4 days? Calculate an appropriate probability to support your answer.

Exercise 80.

According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let Y = the number of days on which the train arrives on time.