Assume that on a standardized test of 100 questions, a person has a probability of 80% of answering any particular question correctly. find the probability of answering between 74 and 84 questions

0.7264

Explanation:

The number of independent questions (n)  = 100

Probability of answering a question (p) = 0.80

Let X be the no. of questions that need to be answered.

random variable X follows binomial distribution

The probability function of a binomial distribution is given as

Now , we nee to find P(74 ≤ X ≤ 84)

P(74 ≤ X ≤ 84) =

P(74 ≤ X ≤ 84) = 0.7264

answer: a) 56% women

b)44% men

step-by-step explanation: