Asked by Victoria Valadez 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 between

A) 5 and 5
B) 4 and 6
C) 4.5 and 5.5
D) None of these choices.

Normal Curve

A symmetric, bell-shaped curve that represents the distribution of many types of data; most scores are near the average, and frequencies decrease as you move away from the center.

Binomial Random Variable

A type of random variable that arises from a binomial experiment, representing the number of successes in a fixed number of independent Bernoulli trials.

  • Assess probabilities through the prism of the normal distribution, as a stand-in for the binomial distribution.