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 TV Household with monthly Household with monthly 8.000 income of " 8,000 or less Telephone Subscriber income above No Telephone Telephone Subscriber No. Telephone Own 7.V, set 27 20 18 10 No. T.V. set 18 10 12 10 (i) What is the probability of obtaining of a TV. 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.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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
Household with monthly
8.000
income of " 8,000 or less
Telephone Subscriber
income above
No Telephone
Telephone SubsNcriber
No. Telephone
Own 7V. set
27
20
18
10
No. T.V. set
18
10
12
10
(i) What is the probability of obtaining of a TV. 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.
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 Household with monthly 8.000 income of " 8,000 or less Telephone Subscriber income above No Telephone Telephone SubsNcriber No. Telephone Own 7V. set 27 20 18 10 No. T.V. set 18 10 12 10 (i) What is the probability of obtaining of a TV. 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.
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