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in a recent study, the following data was obtained in response to the question,

ID: 3358675 • Letter: I

Question

in a recent study, the following data was obtained in response to the question, "do you favor recycling in your neighborhood?"

if a person is picked at random,

a. what is the probability that the person is either male or has no opinion?

B. what is the probability that the person is male given they have no opinion?

C. what is the probability that the person is male with no opinion?

D.what is the probability that the person has no opinion given they are male?

E. what is the probability that the person is a female and a NO?

F. what is the probability that the person is a NO given they are female?

G. what is the probability that the person is either female or is a YES?

H.what is the probability that the person is no opinion given they are female?

no yes no opinion males 20 25 15 females 35 15 10

Explanation / Answer

A. what is the probability that the person is either male or has no opinion?

(20 + 25 + 15 + 10) / (20 + 25 + 15 + 35 + 15 + 10)

= 0.5833.

B. what is the probability that the person is male given they have no opinion?

15 / (15 + 10)

= 0.6.

C. what is the probability that the person is male with no opinion?

15 / (20 + 25 + 15 + 35 + 15 + 10)

= 0.125.

D.what is the probability that the person has no opinion given they are male?

15 / (20 + 25 + 15)

= 0.25.