5. suppose the probability distribution for x = number of jobs held during the past year for work
study students at a university is as follows:
x 0 1 2 3 4 5
f(x) .12 a .28 .18 .06 .02

a. find a.
b. find the probability that a randomly selected student held three or more jobs during the past
year.
c. find the cumulative distribution function.
d. find the e(x).
e. how many jobs would you expect a randomly selected student to hold in the past year?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)