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#### karush

##### Well-known member

- Jan 31, 2012

- 3,055

Let \(\displaystyle X\) be normally distributed with \(\displaystyle \mu =100cm\) and \(\displaystyle \sigma =5 cm\)

\(\displaystyle (a\)) shade region \(\displaystyle P(X>105)\)

View attachment 1010

(b) Given that \(\displaystyle P(X<d)=P(X>105)\), find the value of \(\displaystyle d\).

wasn't sure if this meant that \(\displaystyle d\) is the left of 105 which would be larger in volume than \(\displaystyle X>105\)

\(\displaystyle (a\)) shade region \(\displaystyle P(X>105)\)

View attachment 1010

(b) Given that \(\displaystyle P(X<d)=P(X>105)\), find the value of \(\displaystyle d\).

wasn't sure if this meant that \(\displaystyle d\) is the left of 105 which would be larger in volume than \(\displaystyle X>105\)

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