Total time remaining: 041 Submit Quiz Question #13 / 13 From experience, an airl

Question

Total time remaining: 041 Submit Quiz Question #13 / 13 From experience, an airline knows that only 70% of the passengers booked for at ertain flight actually show up. If 8 passengers are randomly selected, find the probability that more than 5 of them show up. Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places. (If necessary, consult a list of formulas. Note that the ALEKS calculator allows you to compute binomial probabilities.) Clear Undo Help

Explanation / Answer

X ~ Binomial(8 , 0.70)

Binomial probabiity distribution is

p(x) = nCx px (1-p)n-x

p( X >5) = p( X >= 6)

= p( X = 6) + p( X = 7) + p(X = 8)

= 8C6 0.706 0.302 + 8C7 0.707 0.30 + 8C8 0.708 0.300

= 0.2965 + 0.1977 + 0.0576

= 0.5518

Probability that more than 5 of then show up = 0.55 (Rounded to two decimal places)

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