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At a certain university, 28% of the students major in zoology. Of all the students majoring in zoology, 68% are males. It is also known that 56% of all students at the university are male. Let Z represent the event that a randomly chosen student is majoring in zoology. Let M represent the event that a randomly chosen student is male.

(A) What is the probability a randomly chosen student is male and majoring in zoology?

(B) What is the probability that one randomly selected student is a male or is majoring in zoology, or both?

(D) What proportion of students are female and are not majoring in zoology?

(E) Are the events M and Z independent? Explain.

(F) Are the events M and Z mutually exclusive? Explain.

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Statistics and Probability, Statistics

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