At a certain university in Western Canada, 44% of all 1st-year students are registered in an introductory Calculus course, 23% are registered in an

At a certain university in Western Canada, 44% of all 1st-year students are registered in an introductory Calculus course, 23% are registered in an introductory Economics course, and 62% are registered in an introductory Calculus or an introductory Economics course.

You randomly pick a 1st-year student from this particular university. Find the probability that the student chosen

Part (a) is registered in both an introductory Calculus course and an introductory Economics course.

Part (b) is registered in an introductory Calculus course and not registered in an introductory Economics course.

Part (c) is not registered in introductory Calculus or not registered in introductory Economics.

Part (d) is not registered in either course

Part (e) If a student is registered in introductory Calculus, what is the probability they are also registered in introductory Economics?

Part (f) If a student is not registered in introductory Economics, what is the probability they are also not registered in introductory Calculus?

Part (g) Are the events " registered in introductory Calculus" and " registered in introductory Economics" independent? Select the most appropriate reason below.

A. They are not mutually exclusive events, therefore, they must be independent events.

B. They are not independent events, because P(Calculus∩Economics)=0

C. They are independent events, because P(Calculus∩Economics)≠0

D. They are independent events, because P(Calculus∩Economics)=P(Calculus)P(Economics)

E. They are not independent events, because P(Calculus∩Economics)≠P(Calculus)P(Economics)

.