Asked by Haitham Shalaby on Sep 28, 2024

Given that X is a binomial random variable with very large n,the binomial probability P(X ≤ 5) is approximated by the area under a normal curve to the left of

A) 5
B) −5
C) 5.5
D) 4.5

Normal Curve

A bell-shaped curve that represents the distribution of a dataset where most of the observations cluster around the central peak and the probabilities for values further away from the mean taper off equally in both directions.

Binomial Probability

The probability of achieving a specific number of successes in a fixed number of independent trials, each with the same probability of success.

  • Calculate the likelihoods by leveraging the normal distribution instead of the binomial distribution.