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 prob- ability that this play is successful is 0.40.
Let X=1 if succfull, X=0 if not, Find the mean and variance of X

Mean = 0.4

Variance = 0.24    

Step-by-step explanation:

We are given the following in the question:

Possible outcomes:

X = 1(success)

X = 0(Fail)

Probability of success = p = P(X = 1) = 0.40

Since there are only two possible outcome, it follows a Bernoulli's distribution where the probability density function is given by:

The mean of distribution is:

The variance of distribution is:

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