43 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?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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43 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?
44. Morality In a recent poll, the Gallup Organization found
that 45% of adult Americans believe that the overall state of
moral values in the United States is poor.
(a) Compute the mean and standard deviation of the random
variable X, the number of adults who believe that the overall
state of moral values in the United States is poor based on a
random sample of 500 adult Americans.
(b) Interpret the mean.
(c) Would it be unusual to identify 240 adult Americans who
believe that the overall state of moral values in the United
States is poor based on a random sample of 500 adult
Americans? Why?
Transcribed Image Text:43 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? 44. Morality In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall state of moral values in the United States is poor. (a) Compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans. (b) Interpret the mean. (c) Would it be unusual to identify 240 adult Americans who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans? Why?
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