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 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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