There are five multiple choice questions on an exam, each having responses a, b, c, and d. each question is worth 5 points, and only one option per question is correct. suppose the student guesses the answer to each question, and these guesses, from question to question, are independent. the student's mean number of questions correct on the exam should be:

1.25

Step-by-step explanation:

Given

There are four options to multiple choice question and only one is correct which will reward 5 points.

Using Binomial distribution to get the result since no of trials is finite

n=5

chances of guessing a correct question p=0.25

and mean for Binomial distribution is given by

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

5050 i think

step-by-step explanation: