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A random sample of 250 adults was taken and they

A random sample of 250 adults was taken, and they were asked whether they prefer watching sports or opera on television. The following table gives the two-way classification of these adults.

a. If one adult is selected at random from this group, find the probability that this adult

i. Prefers watching opera

ii. Is a male

iii. Prefers watching sports given that the adult is a female

iv. Is a male given that he prefers watching sports

v. Is a female and prefers watching opera

vi. Prefers watching sports or is a male

b. Are the events “female” and “prefers watching sports” independent? Are they mutually exclusive? Explain why or why not.

a. If one adult is selected at random from this group, find the probability that this adult

i. Prefers watching opera

ii. Is a male

iii. Prefers watching sports given that the adult is a female

iv. Is a male given that he prefers watching sports

v. Is a female and prefers watching opera

vi. Prefers watching sports or is a male

b. Are the events “female” and “prefers watching sports” independent? Are they mutually exclusive? Explain why or why not.

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