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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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Hello. Please answer the attached Probability question and its parts correctly and completely.

*If you answer the question and  its parts correctly and completely, I will give you a thumbs up. Thanks.

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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