In a statistics course the probability that a randomly selec

In a statistics course, the probability that a randomly selected student has taken a calculus course is 0.14, while the probability that a randomly selected student drives to campus is 0.48. If the two events are independent, what is the probability that a randomly selected student in this statistics class has taken a calculus course and drives to campus? (a) 0.07 (b) 0.14 (c) 0.34 (d) 0.48 (e) 0.62 (f) None of the above. Please explain your answer choice.

Solution

A- a randomly selected student has taken a calculus course

P(A) = 0.14

B -a randomly selected student drives to campus

P(B) = 0.48

A and B are independent

Hence P(AB) = P(A)P(B)

= 0.14(0.48)

= 0.0672

Hence 0.07 is right answer.