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Statistics / Statistics: Informed Decisions Using Data 4 / Chapter 6.2 / Problem 43

Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III

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. On-Time Flights According to flightstats.com, American Airlines flights from Dallas to

Chapter 6, Problem 43

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QUESTION:

. On-Time Flights According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 100 flights are randomly selected. (a) Compute the mean and standard deviation of the random variable X, the number of on-time flights in 100 trials of the probability experiment. (b) Interpret the mean. (c) Would it be unusual to observe 75 on-time flights in a random sample of 100 flights from Dallas to Chicago? Why?

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QUESTION:

. On-Time Flights According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 100 flights are randomly selected. (a) Compute the mean and standard deviation of the random variable X, the number of on-time flights in 100 trials of the probability experiment. (b) Interpret the mean. (c) Would it be unusual to observe 75 on-time flights in a random sample of 100 flights from Dallas to Chicago? Why?

ANSWER:

Step 1 of 4

(a)

To find the mean and standard deviation, let be a binomial random variable with number of trials and success probability of . Thus,

To compute the mean of , use the formula

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