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Anasia is a basketball player who regularly shoots sets of 2 free-throws. Suppose that each shot has probability
0.7 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 2
attempts.
2
X=of makes 0 1
P(X)
0.09 0.42
0.49
Given that r = 1.4 makes, find the standard deviation of the number of shots that Anasia makes.
Round your answer to two decimal places
shots

Respuesta :

Answer:

0.65

Step-by-step explanation:

The required standard deviation is 0.65

Given data is,

Computation:

[tex]\varepsilon_x\times P(X=x)=0\times 0.09+1\times0.42+2\times0.49\\=0.42+0.98\\=1.4[/tex]

Now,

[tex]E(X^2)=0^2\times 0.009+1^2\times 0.42+2^2\times 0.49\\=0.42+1.96\\=2.38\\\sigma ^2=E(X^2)-(E(X))^2\\=2.38-(1.4)^2\\=0.42\\\sigma =\sqrt{0.42}\\=0.65[/tex]

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