ind the indicated probability Round to three decimal places

ind the indicated probability. Round to three decimal places.

An airline estimates that 90% of people booked on their flights actually show up. If the airline books 64 people on a flight for which the maximum number is 62, what is the probability that the number of people who show up will exceed the capacity of the plane?

Question 15 options:

Solution

Note that P(at least x) = 1 - P(at most x - 1).          
          
Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    64      
p = the probability of a success =    0.9      
x = our critical value of successes =    63      
          
Then the cumulative probability of P(at most x - 1) from a table/technology is          
          
P(at most   62   ) =    0.99043685
          
Thus, the probability of at least   63   successes is  
          
P(at least   63   ) =    0.00956315

The closest here is

OPTION A: 0.008 [ANSWER]

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0.00956315 is an exact answer. If your class uses another approximation, please resubmit this question, and tell us what approximation you use for this problem. That way we can continue helping you! Thanks!