Question

Suppose \( 15 % \) of adults in a certain country work from home. 1. If we want to find the probability that fewer than 56 out of a random sample of 400 adults will work from home,

Answer 1

To find the probability that fewer than 56 out of a random sample of 400 adults will work from home, we can use the binomial probability formula.

Step-by-step explanation:

To find the probability that fewer than 56 out of a random sample of 400 adults will work from home, we can use the binomial probability formula. In this case, the probability of success (an adult working from home) is 0.15, and the sample size is 400. We want to find the probability of having fewer than 56 successes.

To calculate this, we can use the binomial probability formula:

P(X < 56) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 55)

Using a calculator or statistical software, we can calculate the probability.