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Mathematics, 06.06.2020 21:02 danacoots
After scoring a touchdown, a football team may elect to attempt a two-point conversion, by running or passing the ball into the end zone. If successful, the team scores two points. For a certain football team, the probability that this play is successful is 0.40.
a. Let X= 1 if successful, X= 0 if not. Find the mean and variance of X.
b. If the conversion is successful, the team scores 2 points; if not the team scores 0 points. Let Y be the number of points scored. Does Y have a Bernoulli distribution? If so, find the success probability. If not, explain why not.
c. Find the mean and variance of Y.
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