Assume that random guesses are made for 15 multiple chioce questions on an sat test and that there are 5 choices on each question with the probability of success 0.20. find the probability that the number of correct answers is at most 6 (this problem meets all the requirements of a binomial situation.)

The probability is:

                          0.9818

We need to use the binomial theorem in order to find the probability.

We know that when there are r successes out of n total experiments such that p denote the probability of success then the probability of r successes is given by the formula:

Here we khave:

n=15

p=0.20

Hence,

1-p=1-0.20=0.80

Also, we are asked to find the probability that the number of correct answers is at most 6 i.e.

Hence,

irrational, cannot

there are no answer choices

step-by-step explanation: