Chapter 8, Problem 91RE

(a)

To determine

To calculate: The probability that a randomly selected warbler has a length between a and b centimeters is given as, $P\left(a\le x\le b\right)=\frac{1}{0.95\sqrt{2\pi }}{\displaystyle \underset{a}{\overset{b}{\int }}{e}^{-\frac{{\left(x-12.9\right)}^2}{1.805}}}dx$. The probability that a randomly selected warbler has a length of 13 centimeters or greater.

(b)

To determine

To calculate: The probability ofa randomly selected warbler having length between a and b centimeters is given by, $P\left(a\le x\le b\right)=\frac{1}{0.95\sqrt{2\pi }}{\displaystyle \underset{a}{\overset{b}{\int }}{e}^{-\frac{{\left(x-12.9\right)}^2}{1.805}}}dx$. The probability that a randomly selected warbler have length of 15 centimeters or greater.