A market research firm is interested in surveying certain attitudes in a small community. There are 125 households broken down according to income, ownership of a telephone or ownership of a T.V. Household with monthly income of Rs. 8,000 or less Household with monthly income above Rs. 8,000 Telephone Subscriber 18 Telephone Subscriber No Telephone No. Telephone Own T.V. set 27 20 10 No. T.V. set 18 10 12 10 (i) What is the probability of obtaining of a T.V. owner in drawing at random ? (ii) If a household has monthly income over Rs. 8,000 and is a telephone subscriber, what is the probability that it has a T.V. ? (iii) What is the conditional probability of drawing a household that owns a T.V., given that the household is a telephone subscriber ? (iv) Are the events 'ownership of a T.V. and 'telephone subscriber statistically independent ? · Comment.
A market research firm is interested in surveying certain attitudes in a small community. There are 125 households broken down according to income, ownership of a telephone or ownership of a T.V. Household with monthly income of Rs. 8,000 or less Household with monthly income above Rs. 8,000 Telephone Subscriber 18 Telephone Subscriber No Telephone No. Telephone Own T.V. set 27 20 10 No. T.V. set 18 10 12 10 (i) What is the probability of obtaining of a T.V. owner in drawing at random ? (ii) If a household has monthly income over Rs. 8,000 and is a telephone subscriber, what is the probability that it has a T.V. ? (iii) What is the conditional probability of drawing a household that owns a T.V., given that the household is a telephone subscriber ? (iv) Are the events 'ownership of a T.V. and 'telephone subscriber statistically independent ? · Comment.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A market research firm is interested in surveying certain attitudes in a small
community. There are 125 households broken down according to income, ownership of a telephone or
ownership of a T.V.
Household with monthly
income of Rs. 8;000 or less
Telephone Subscriber
Household with monthly
income above Rs. 8,000
Telephone Subscriber
18 loo
No Telephone
No. Telephone
Own T.V. set
27
20
10
No. T.V. set
18
10
12
10
(i) What is the probability of obtaining of a T.V. owner in drawing at random ?
(ii) If a household has monthly income over Rs. 8,000 and is a telephone subscriber, what is the
probability that it has a T.V. ?
(iii) What is the condițional probability of drawing a household that owns a T.V., given that the
household is a telephone subscriber ?
(iv) Are the events 'ownership of a T.V. and 'telephone subscriber statistically independent ?
· Comment.
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