Discrete distributions

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   A binomial random variable $X$ has $n = 12$ independent trials, each with success probability $p = 9/20$. Find $P(X = 5)$, rounded to 4 decimal places.

2. Warm-up

   A binomial random variable $X$ has $n = 11$ independent trials, each with success probability $p = 1/5$. Find $P(X = 1)$, rounded to 4 decimal places.

3. Warm-up

   A binomial random variable $X$ has $n = 9$ independent trials, each with success probability $p = 1/2$. Find $P(X = 1)$, rounded to 4 decimal places.

Problems shown under their original terms: Generated (template, solver-computed).