4.96 A random sample of 80 lawyers was taken, and they were asked if they are in favor of or against capital punishment. The following table gives the two-way classification of their responses. Male Female Favors Capital Punishment 32 13 Opposes Capital Punishment 24 11 a. If one lawyer is randomly selected from this group, find the probability that this lawyer i. favors capital punishment ii. is a female iii. opposes capital punishment given that the lawyer is a female iv. is a male given that he favors capital punishment v. is a female and favors capital punishment vi. opposes capital punishment or is a male b. Are the events female and opposes capital punishment inde- pendent? Are they mutually exclusive? Explain why or why not.

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4.96 A random sample of 80 lawyers was taken, and
they were asked if they are in favor of or against capital
punishment. The following table gives the two-way
classification of their responses.
Male
Female
Favors Capital
Punishment
32
13
Opposes Capital
Punishment
24
11
a. If one lawyer is randomly selected from this group, find the
probability that this lawyer
i. favors capital punishment
ii. is a female
iii. opposes capital punishment given that the lawyer is a
female
iv. is a male given that he favors capital punishment
v. is a female and favors capital punishment
vi. opposes capital punishment or is a male
b. Are the events female and opposes capital punishment inde-
pendent? Are they mutually exclusive? Explain why or why not.
Transcribed Image Text:4.96 A random sample of 80 lawyers was taken, and they were asked if they are in favor of or against capital punishment. The following table gives the two-way classification of their responses. Male Female Favors Capital Punishment 32 13 Opposes Capital Punishment 24 11 a. If one lawyer is randomly selected from this group, find the probability that this lawyer i. favors capital punishment ii. is a female iii. opposes capital punishment given that the lawyer is a female iv. is a male given that he favors capital punishment v. is a female and favors capital punishment vi. opposes capital punishment or is a male b. Are the events female and opposes capital punishment inde- pendent? Are they mutually exclusive? Explain why or why not.
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