Question

twenty percent of adults in a particular community have at least a bachelors degree. suppose x is a binomial random variable that counts the number of adults with at least a bachelors degree in a random sample of 100 adults from the community. which of the following probability statements indicates the probability that at least 30 adults have at least a bachelors degree? choose the correct answer below. a. p(x<30) b. p(x≤30) c. p(x≥30) d. p(x>30)

Explanation:

Step1: Understand the language of probability

The phrase "at least" means greater than or equal to in probability - language.

Step2: Match with the correct probability - notation

If \(x\) is the number of adults with at least a bachelor's degree, and we want the probability that at least 30 adults have at least a bachelor's degree, we are looking for \(P(x\geq30)\).

Answer:

C. \(P(x\geq30)\)