A tour bust in San Diego can hold 60 passengers The tour com

A tour bust in San Diego can hold 60 passengers. The tour company sells 63 tickets for this bus tour, because they know that the probability is .08 that a tourist who bought a ticket will not show up. Tourist are independent. What is the probability that the tour bus departs with all seats full?

Solution

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    63      
p = the probability of a success = 1 - 0.08 =   0.92      
x = the number of successes =    60      
          
Thus, the probability is          
          
P (    60   ) =    0.136599914 [ANSWER]