There is a 70 percent chance that an airline passenger will check bags. Next, co

Question

There is a 70 percent chance that an airline passenger will check bags. Next, consider 16 passengers that check in for their flight at Denver International Airport. What is the probability that at

a.) most 14 of them will check bags?

b.) at least 14 of them will check bags?

Question 39 Not yet answered Points out of 1.000 P Flag question There is a 70 percent chance that an airline passenger will check bags. Next, consider 16 probability that at least 14 of them will check bags? Select one: passengers that check in for their flight at Denver International Airport. What is the a. 0.175 O b.0.099 C. 0.192 d.0.290

Explanation / Answer

p = 0.7

n = 16

P(X = x) = 16Cx * 0.7x * (1 - 0.7)16-x

a) P(X < 14) = 1 - [P(X = 15) + P(X = 16)]

                    = 1 - [16C15 * 0.715 * 0.31 + 16C15 * 0.716 * 0.30 ]

                    = 1 - 0.0261

                    = 0.9739

b) P(X > 14) = P(X = 14) + P(X = 15) + P(X = 16)

                    = 16C14 * 0.714 * 0.3 2+ 16C15 * 0.715 * 0.31 + 16C15 * 0.716 * 0.30

                    = 0.0994

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