Recent questions tagged goclasses-da-dpp-day-156

Consider three Bernoulli random variables $X$, $Y$, and $Z$, each taking values $0$ or $1$. No independence assumptions are made. Suppose$P(X=1)=\frac{2}{5}$,  $P(Y=1|X=1...

Let $A$, $B$, and $C$ be events. Assume every conditional probability that appears is defined. Which statement is NOT necessarily true?If $0<P(B)<1$ and $P(A|B)>P(A)$, th...

Suppose $X,Y,Z$ are independent binary random variables taking values in ${0,1}$. Let $P(X=0)=p$, $P(Y=0)=q$, and $P(Z=0)=r$. Which expression is equal to $P(X+Y+Z\geq 2\...

Let $A$, $B$, $C$, and $D$ be events. Assume every conditional probability used below is defined. Without making any independence assumptions, which expression(s) must be...

A manufacturer tests one electronic chip using four independent inspection gates. The chip passes Gate A, Gate B, Gate C, and Gate D with probabilities $0.96$, $0.90$, $0...