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Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way

Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way classification of their responses, where yes means that an adult watches for calories and fat content and no means he/she does not watch.

Yes

No

No Opinion

Men

73

168

59

Women

103

124

73

Give exact answers in fraction form.

a. If one adult is randomly selected from these 600 adults, find the probability that this adult

i. is a man

Probability =

ii. does not watch for calories and fat content

Probability =

iii. watches for calories and fat content given that this adult is a woman

Probability =

iv. is a man given that this adult has no opinion

Probability =

b. Are events men and yes mutually exclusive?

Yes.No.

What about yes and no opinion?

Yes.No.

c. Are events men and no independent?

Yes.No.

Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way classification of their responses, where yes means that an adult watches for calories and fat content and no means he/she does not watch.

Yes

No

No Opinion

Men

73

168

59

Women

103

124

73

Give exact answers in fraction form.

a. If one adult is randomly selected from these 600 adults, find the probability that this adult

i. is a man

Probability =

ii. does not watch for calories and fat content

Probability =

iii. watches for calories and fat content given that this adult is a woman

Probability =

iv. is a man given that this adult has no opinion

Probability =

b. Are events men and yes mutually exclusive?

Yes.No.

What about yes and no opinion?

Yes.No.

c. Are events men and no independent?

Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way classification of their responses, where yes means that an adult watches for calories and fat content and no means he/she does not watch.

Yes

No

No Opinion

Men

73

168

59

Women

103

124

73

Give exact answers in fraction form.

a. If one adult is randomly selected from these 600 adults, find the probability that this adult

i. is a man

Probability =

ii. does not watch for calories and fat content

Probability =

iii. watches for calories and fat content given that this adult is a woman

Probability =

iv. is a man given that this adult has no opinion

Probability =

b. Are events men and yes mutually exclusive?

Yes.No.

What about yes and no opinion?

Yes.No.

c. Are events men and no independent?

Yes.No.

Yes.No.

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