Question

Need help on a distribution question.

Answer 1

Not exactly a question about distributions as it is about approximating the area under the curve using rectangles.

The (horizontal) length of each rectangle is the difference between successive values of
`x`. For example, in the first rectangle, the length is starting at
`x_0=650` and terminates at
`x_1=675`, giving a difference of
`\Delta x=x_1-x_0=25`.

The (vertical) height of each rectangle is the value of the function
`f(x)` taken at the point
`x` that gives the left endpoint of the rectangle's width. So in the first rectangle, you take
`f(650)`.

Then the area of each rectangle is simply the length multiplied by the height.

Area of 1st rectangle =
`(675-650)* f(650)=25*0.001295=0.032375`
2nd =
`(700-675)* f(675)=25*0.000863=0.021575`
3rd =
`(725-700)* f(700)=25*0.00054=0.0135`

and so on.

The total area would then be the sum of all the rectangles' areas.