Question

Two hundred people were asked if they had read a book in the last month. The accompanying contingency table, cross-classified by age, is provided below.



Under 30

30 +

Yes

76

65

No

24

35

Answer 1

Question Continuation

The probability that a respondent read a book in the last month and is at least 30 years old is the closest to

A. 0.33

B. 0.88

C. 0.46

D. 0.12

See Attachment for complete question

Answer:

A. 0.33

Explanation:

To solve this question, we need the intersecting cell of Yes and 30+

$n(Yes\ n\ 30+) = 65$

The probability is then calculated as follows:

$P(Yes\ n\ 30+) = \frac{n(Yes\ n\ 30+)}{Total}$

Where Total = 200

$P(Yes\ n\ 30+) = \frac{65}{200}$

$P(Yes\ n\ 30+) = 0.325$

From the list of given options; (A) is the closest to 0.325

Hence:

Option A answers the question