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Anasia is a basketball player who regularly shoots sets of 222 free-throws. Suppose that each shot has probability 0.70.70, point, 7 of being made, and the results of the shots are independent.
The table below displays the probability distribution of XXX, the number of shots that Anasia makes in a set of 222 attempts.
X= \# \text{ of makes}X=# of makesX, equals, \#, start text, space, o, f, space, m, a, k, e, s, end text 000 111 222
P(X)P(X)P, left parenthesis, X, right parenthesis 0.090.090, point, 09 0.420.420, point, 42 0.490.490, point, 49
Given that \mu_X=1.4μ
X
​
=1.4mu, start subscript, X, end subscript, equals, 1, point, 4 makes, find the standard deviation of the number of shots that Anasia makes.
Round your answer to two decimal places.

Respuesta :

my1stcatsnameisfrost

Answer:

0.65

Step-by-step explanation:

on khan

Anasia is a basketball player who regularly shoots sets of 2 free throws. The required standard deviation is 0.65

How to find the sample standard deviation for the distribution of a sample proportion?

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

Anasia is a basketball player who regularly shoots sets of 2 free throws. Suppose that each shot has a probability of 0.7, point, and 7 being made, and the results of the shots are independent.

[tex]e \times P(X=x) \\=0\times 0.09+1\times0.42+2\times0.49\\=0.49+0.98\\\\1.4[/tex]

Now,

[tex]E(X^2) = 0\times0.009 +1^2 \times0.42 +2\times0.42\\\\= 0.42+ 1.96\\\\=2.38[/tex]

we can calculate the standard deviation by variance

[tex]\sigma^2 = E(X^2) - (E(X))^2\\\\\sigma^2 =2.38 - 1.4^2\\\\\sigma^2 =0.42\\\\\sigma = 0.65[/tex]

The required standard deviation is 0.65

Learn more about standard deviation and variance:

https://brainly.com/question/11448982

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