Please complete part 1, 2 and 3. Given the following data 0 Find E (X) Find...

Question

Question

Please complete part 1, 2 and 3.

Answer 1

Answer #1

Answer

(A) E[x] is the expected value given as $E[x] = \sum x*P(x)$

setting the data values, we get

=(4*0.17)+(5*0.22)+(6*0.19)+(7*0.13)+(8*0.11)+(9*0.10)+(10*0.08)

=0.68+1.10+1.14+0.91+0.88+0.90+0.80

=6.41

(B) Variance $\sigma^2$ is given as

$\sigma^2 = \sum (x-\mu)^2*P(x)$

setting the data values, we get

=((4-6.41)^2*0.17)+((5-6.41)^2*0.22)+((6-6.41)^2*0.19)+((7-6.41)^2*0.13)+((8-6.41)^2*0.11)+((9-6.41)^2*0.10)+((10-6.41)^2*0.08)

= 3.4819

(C) standard deviation $\sigma$ is equal to square root of variance

$\sigma = \sqrt{variance}$

$= \sqrt{3 . 4819}$

=1.87

Answer 2

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