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,

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: