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 ?

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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 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 ? 

 

 

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
and ownership of a TV.
Tota
Households with annual
Income of Rs. 8000 or less
I
Households with annual
income above Rs. 8000
Telephone
subscriber
Telephone
subscriber
No telephone
No telephone
Own TV set
27
20
18
10
75
No TV set
18
10
12
10
50
45
30
30
20
125
(a) What is the probability of getting a TV owner in a random draw?
(b) If a household has an income of over Rs. 8000 and is a telephone subscriber, is the
probability that he owns a TV?
(c) What is the conditional probability of drawing a household that owns a TV, given that
the household is a telephone subscriber?
(d) Are the events "Ownership of a TV" and "Telephone subscriber" statistically
independent?
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 and ownership of a TV. Tota Households with annual Income of Rs. 8000 or less I Households with annual income above Rs. 8000 Telephone subscriber Telephone subscriber No telephone No telephone Own TV set 27 20 18 10 75 No TV set 18 10 12 10 50 45 30 30 20 125 (a) What is the probability of getting a TV owner in a random draw? (b) If a household has an income of over Rs. 8000 and is a telephone subscriber, is the probability that he owns a TV? (c) What is the conditional probability of drawing a household that owns a TV, given that the household is a telephone subscriber? (d) Are the events "Ownership of a TV" and "Telephone subscriber" statistically independent?
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