The probability that a college graduate will find a full time job within three months after graduation from college is .27. Three college students, who will be graduating soon, are randomly selected. What is the probability that all three of them will find full-time jobs within three months after graduation from college

The probability that all three of them will find full-time jobs within three months after graduation from college is 0.0197.

Step-by-step explanation:

Let X denote the number of college graduates who will find a full time job within three months after graduation from college.

A random sample of 3 college students, who will be graduating soon, are selected.

The probability of X is, p = 0.27.

Each student is independent of the other to find a full time job within three months after graduation from college.

The random variable X follows a binomial distribution with parameter n = 3 and p = 0.27.

Compute the probability that all three of them will find full-time jobs within three months after graduation from college as follows:

Thus, the probability that all three of them will find full-time jobs within three months after graduation from college is 0.0197.

  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).

step-by-step explanation:

my butt