Chapter 6, Problem 34RE

(a)

To determine

To calculate: The probability of locating oil and gas between $40\%$ and $60\%$, when probability locating oil and gas between $a\%$ and $b\%$ is modelled as $P\left(a\le x\le b\right)={\displaystyle \underset{a}{\overset{b}{\int }}1.5x^2{e}^{x^{1.5}}}dx$.

(b)

To determine

To calculate: The probability of locating oil and gas between $0\%$ and $50\%$, when probability locating oil and gas between $a\%$ and $b\%$ is modelled as $P\left(a\le x\le b\right)={\displaystyle \underset{a}{\overset{b}{\int }}1.5x^2{e}^{x^{1.5}}}dx$.