The Los Angeles Times (December 13, 1992) reported that what 80% of airline passengers like to do

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The Los Angeles Times (December 13, 1992) reported that what 80% of airline passengers like to do most on long flights is rest or sleep. Suppose that the actual percentage is exactly 80%, and consider randomly selecting six passengers. Then x = the number among the selected six who prefer to rest or sleep is a binomial random variable with n = 6 and p = 0.8.
a. Calculate p(4), and interpret this probability.
b. Calculate p(6), the probability that all six selected passengers prefer to rest or sleep.
c. Calculate P(x $ 4).
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