Suppose the randoes variable X has a binomial distribution corresponding to n= 15 and p = 0.40 . Use the Cumulative Binomial Probabilities table to calculate these probabilities , ( Enter your answers to three decimal places )

( a ) P ( X= 4 )

( b ) P(X >=8 )

Question 2-

Airlines and hotels often grant reservations in excess of capacity to minimize losses due to no - shows . Suppose the reconds of a hotel show that , on the average , 10 % of its prospective guests will not claim their reservations . If the hotel accepts 229 reservations and there are only 210 rooms in the hotel , what is the probability that all guests who amve to claim a room will receive one ?

( Use the normal approximation . Round your answer to four decimal places You may need to use the appropriate appendix table or technology to answer this question