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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Hello. Please answer the attached Probability question and its parts correctly and completely.

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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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