The pdf for X is shown below. 1 f(x) = 14 -7 ≤x≤7 0 otherwise Since -7

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 can someone help me understand d) −7 < k < k + 4 < 7

 

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The pdf for X is shown below.
f(x) = 14
0
1
Since -7 < k < k + 4 < 7, the definition of f(x) remains the same, f(x) =
over the entire interval k < x < k + 4. Thus, the integral will not need to be split into separate integrals.
14'
P(k < X < K + 4) =
Compute P(k < X < K + 4) =
=
=
-7 ≤ x ≤ 7
otherwise
=
√x
Jk
1
k+4
=√x
k+4 1
k+4
f(x)dx
k+ 4
14
_dx
14
|X = k + 4
-X
14 x = k
f(x) dx, rounding your answer to two decimal places.
X
14
X
Transcribed Image Text:The pdf for X is shown below. f(x) = 14 0 1 Since -7 < k < k + 4 < 7, the definition of f(x) remains the same, f(x) = over the entire interval k < x < k + 4. Thus, the integral will not need to be split into separate integrals. 14' P(k < X < K + 4) = Compute P(k < X < K + 4) = = = -7 ≤ x ≤ 7 otherwise = √x Jk 1 k+4 =√x k+4 1 k+4 f(x)dx k+ 4 14 _dx 14 |X = k + 4 -X 14 x = k f(x) dx, rounding your answer to two decimal places. X 14 X
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