Chapter 4.5, Problem 91E

(a)

To determine

To calculate: The probability that chosen person will recall $50\%\text{ and 75\%}$ of the material, where probability is $P_{a,b}={\displaystyle {\int }_a^b\frac{15}{4}x\sqrt{1-x}dx}$

(b)

To determine

To calculate: The value of b, where probability is $P_{0,b}={\displaystyle {\int }_0^b\frac{15}{4}x\sqrt{1-x}dx}=0.5$