Question

Anasia is a basketball player who regularly shoots sets of 2 free-throws. Suppose that each shot has probability0.7 of being made, and the results of the shots are independent.The table below displays the probability distribution of X, the number of shots that Anasia makes in a set of 2attempts.2X=of makes 0 1P(X)0.09 0.420.49Given that r = 1.4 makes, find the standard deviation of the number of shots that Anasia makes.Round your answer to two decimal placesshots

Answer 1

The formula to obtain the standard deviation is

`\sigma=\Sigma(x-\mu)^2P(x)`

Then

`\begin{gathered} \sigma=(0-1.4)^2(0.09)+(1-1.4)^2(0.42)+(2-1.4)^2(0.49) \\ \sigma=0.65 \end{gathered}`

Then, the standard deviation is 0.65