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1.An airline company has a policy of routinely overbooking flights

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1.An airline company has a policy of routinely overbooking flights.
The following probability distribution table shows the random variable, x, where x is number of passengers who cannot be boarded because there are more passengers than seats:
(a) Determine the mean of x (Round the answer to two decimal places). Show all work.
(b) Determine the standard deviation of x. (Round the answer to two decimal places). Show all work
TABLE
X 0 1 2 3 4
P(X) 0.07, 0.14, 0.27, 0.33, 0.19

2. Max Scherzer, the starting pitcher for the Nationals, on average, has a 0.250 probability of hitting the ball in a single “at bat”. In one game, he gets 6 “at bats.”
(a) Let X be the number of hits that Max gets. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?
(b) Find the probability that he gets at least 3 hits in the one game. (Round the answer to 3 decimal places) Show all work.

 
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