Let $X$ denote a random variable giving a value with distribution $X \sim N(-5, 9)$. Find t

Question

Let $X$ denote a random variable giving a value with distribution $X \sim N(-5, 9)$. Find the probability that an item chosen at random will have a positive value, out of $10$ items chosen at random, just $4$ will have a positive value.

Accepted Answer

(a) $0.0478$; (b) $0.000817$.

Calculating probabilities involving normal distribution and binomial distribution

Calculating probabilities involving normal distribution and binomial distribution