Assume that random guesses are made for eight multiple choice questions on an SAT test so that there are n = 8 trials, each with probability of success (correct) given by p=0.2. find the indicated probability for the number of correct answer.

find the probability that the number x or correct answer is fewer than 4

Question

Alena Cunningham

Mathematics

26 September, 22:13

Assume that random guesses are made for eight multiple choice questions on an SAT test so that there are n = 8 trials, each with probability of success (correct) given by p=0.2. find the indicated probability for the number of correct answer.

find the probability that the number x or correct answer is fewer than 4

+5

Answers (1)

Know the Answer?

Dean Brock · Answer 1

Step-by-step explanation:

consider k the numbe of correct answers

P (k) = kC8 * (0,2) ^k * (0,8) ^ (8-k)

example:

The probability of having 2 correct answers = 2C8 * (0,2) ^2 * (0,8) ^ (6) = 0.294

the probability that the number x or correct answer is fewer than 4 =

p (0) + p (1) + p (2) + p (3) = 0.944