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 …

Question

asked Sep 20, 2021 136 views

1 Answer

Krishna Prasad · Answer 1 · 2021-09-27T04:22:09+0000

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

Step-by-step 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:

$P(Yes\ n\ 30+) = (n(Yes\ n\ 30+))/(Total)$

Where Total = 200

$P(Yes\ n\ 30+) = (65)/(200)$

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

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

Hence:

Option A answers the question