Answered: From experience, an airline knows that…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...

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Question

From experience, an airline knows that only 76% of the passengers booked on a flight from New York to Los Angeles actually board their flight. A random sample of 10 booked passengers from New York to Los Angeles is chosen. Find the probability that 6 or 7 of them board their flight.

Do not round your intermediate computations, and round your answer to three decimal places.

Expert Solution

Step 1: Introduce the given information

According to the given information,

Probability of success, p = 76% = 0.76

Sample size, n = 10

Let X be a random variable represents the number of passengers board their flight.

So, X~B(10 , 0.76)

Using formula,

$P left parenthesis X equals r right parenthesis equals C presuperscript n subscript r cross times left parenthesis p right parenthesis to the power of r cross times left parenthesis 1 minus p right parenthesis to the power of n minus r end exponent$