Assignment Solutions
If X has distribution function F, what is the distribution function of the random variable $\alpha X + \beta$, where $\alpha$ and $\beta$ are constants? Solution Let $F(x)=P(X\leq x)$ be…
The probability distribution of V, the weekly number of accidents at a certain intersection, is given by g(0) = 0.40, g(1) = 0.30, g(2) = 0.20, and g(3) = 0.10.…
Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives circuit boards in batches of five. Two boards are selected from…
An electronic chess game has a useful life that is exponential with a mean of 30 months. Determine each of the following: a. The probability that any given unit will…
Resistors labeled 100 $\Omega$ have true resistances that are between 80 $\Omega$ and 120 $\Omega$. Let X be the mass of a randomly chosen resistor. The probability density function of…
