Question

Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA students. From the marginal probabilities

Answer 1

The probability that a randomly selected student is both female and a science major is P(F ∩ S), the conditional probability for a male student to major in education is P(E | M), and the probability of both independent events A and B occurring is 0.15.

Step-by-step explanation:

To answer Exercise 58, the symbol for the probability that a student, selected at random, is both female and a science major is P(F ∩ S), where ∩ denotes the intersection, i.e., being both a female and a science major.

Exercise 59 refers to the conditional probability. The symbol for the probability that the student is an education major, given that the student is male, is written as P(E | M), where '|' denotes 'given that'.

For Exercise 60, since Events A and B are independent, the probability of both A and B occurring is found by multiplying their individual probabilities: P(A AND B) = P(A) × P(B) = 0.3 × 0.5 = 0.15.