Consider the following events for a college student selected at random. A = stud

Question

Consider the following events for a college student selected at random. A = student is female B = student is majoring in business Translate each of the following phrases into symbols. (a) The probability the student is male or is majoring in business. P(A | B) P(A and B) P(A^C or B) P(B | A) P(A and B^C) (b) The probability a female student is majoring in business. P(A | B) P(A and B) P(A^C or B) P(B | A) P(A and B^C) (c) The probability a business major is female. P(A | B) P(A and B) P(A^C or B) P(B | A) P(A and B^C) (d) The probability the student is female and is not majoring in business. P(A | B) P(A and B) P(A^C or B) P(B | A) P(A and B^C) (e) The probability the student is female and is majoring in business. P(A | B) P(A and B) P(A^C or B) P(B | A) P(A and B^C)

Explanation / Answer

a) P(Male or is majoring in business) = P(AC or B)

Option 3 is correct.

b) P(Female student majoring in business) = P(B | A)

Option 4 is correct.

c) P(Business major is female)

= P(A | B)

Option 1 is correct.

d) P(Female and not majoring in business) = P(A and BC)

Option 5 is correct.

e) P(Female and majoring in business) = P(A and B)

Option 2 is correct.

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