1. The Los Angeles Times (Dec. 13, 1992) reported that 80% of airline passengers prefer to sleep on long flights rather than watch movies, read, etc. Consider randomly selecting 25 passengers from a particular long flight. Define a random variable X and answer the following questions. a) What is the probability that exactly 12 of those selected passengers prefer sleeping? b) What is the probability that all passengers selected prefer to sleep on the long flight? c) What is the probability that at least 20 passengers refer sleeping on the long flight? d) What is the average number of passengers that prefer sleeping on the long flight and calculate and interpret the standard deviation of X.

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1. The Los Angeles Times (Dec. 13, 1992) reported that 80% of airline passengers prefer
to sleep on long flights rather than watch movies, read, etc. Consider randomly selecting
25 passengers from a particular long flight. Define a random variable X and answer the
following questions.
a) What is the probability that exactly 12 of those selected passengers prefer sleeping?
b) What is the probability that all passengers selected prefer to sleep on the long flight?
c) What is the probability that at least 20 passengers refer sleeping on the long flight?
d) What is the average number of passengers that prefer sleeping on the long flight and
calculate and interpret the standard deviation of X.
Transcribed Image Text:1. The Los Angeles Times (Dec. 13, 1992) reported that 80% of airline passengers prefer to sleep on long flights rather than watch movies, read, etc. Consider randomly selecting 25 passengers from a particular long flight. Define a random variable X and answer the following questions. a) What is the probability that exactly 12 of those selected passengers prefer sleeping? b) What is the probability that all passengers selected prefer to sleep on the long flight? c) What is the probability that at least 20 passengers refer sleeping on the long flight? d) What is the average number of passengers that prefer sleeping on the long flight and calculate and interpret the standard deviation of X.
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