Recent questions tagged goclasses-da-dpp-day-148

In a probabilistic model, suppose $P(A)=a$, $P(B)=b$, and $P(B^c \mid A^c)=e$, where $0<a<1$ and $0<b<1$. Determine $P(A \mid B)$ in terms of $a$, $b$, and $e$.$\frac{b-(...

A number $X$ is chosen from the set ${1,2,3,4,5,6}$ with probability mass function $P(X=x)=cx$ for $x=1,2,3,4,5,6$. Subsequently, given that $X=x$, a second number $Y$ is...

Suppose $7$ balls are thrown independently into $4$ bins, where each ball is equally likely to land in any one of the $4$ bins. The bins are numbered $1$ to $4$. Let $X_i...

Let $X$ and $Y$ be jointly continuous random variables with joint density function$f(x,y)=\begin{cases} c(x+2y), & 0 \le x \le 1 \text{ and } x^2 \le y \le \sqrt{x} \\\\ ...

There are $12$ cards in a hat labeled $1,1,1,2,2,2,3,3,3,4,4,4$.You draw one card uniformly at random.If the number drawn is $1$, you draw $1$ more card. If the number dr...