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From experience, an airline knows that only 70% of the passengers booked for a certain flight...

From experience, an airline knows that only 70% of the passengers booked for a certain flight actually show up. If 7 passengers are randomly selected, find the probability that at least 5 of them show up. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)

Math   Statistics-And-Probability   
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Answer #1

Let X denotes the number of passengers show up in the random sample of 7. Then X is a binomial random variable with parameters n = 7 and p = 0.7. The probability distribution of X is for x = 0,1 2, .... 7.

The probability that at least 5 of them show up is given as .

. Using the probability distribution given above, compute them as follows.

= 0.65

The probability that at least 5 of them show up is 0.65.

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