Question

Suppose the x-axis of a density graph represents someone's height in inches.If the area under the density curve from 60 inches to 70 inches is 0.75, whatis the probability of someone's height being anywhere from 60 inches to 70inches?A. 65%B. 60%C. 70%D. 75%

Answer 1

The probability percentage of a curve is defined as the area under the density curve as

`P=\int_b^ae^(f(x))dx=A`

The area under the density curve from 60 inches to 70 inches is 0.75.

So, the probability is the area = 0.75

Hence the probability of someone's height being anywhere from 60 to 70 inches is 75%

option D is the answer