Lecture 29
Qi Wang, Department of Statistics
Nov 1, 2017
Suppose that a continuous random variable, X, has the probability density function (PDF) given below: \[ f_X(x)=\left\{ \begin{array}{ll} \frac{3}{2}x, 0 \le x \le 1\\ \frac{1}{4}, 5 \le x \le 6\\ 0, otherwise \end{array} \right. \]
Professor Pine is a Pokémon professor who specializes in Pokémon health and has a clinic to treat sick/fainted Pokémon . The clinic is open 12 hours each day (9:00 am to 9:00 pm). On average, 15 Pokémon arrive and are treated at the clinic during its open hours.
A certain component that your company manufactures has a weight that varies evenly from 59 grams to 75 grams. Each of these manufactured components is independent of the others.
Suppose that you have a box containing 50 balls, 35 of which are black. The rest are red.