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  • A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table:

A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table:

Monthly income (in Rs) Number of Televisions/household
  0 1 2 Above 2
<10000 20 80 10 0
10000-14999 10 240 60 0
15000-19999 0 380 120 30
20000-24999 0 520 370 80
25000 and above 0 1100 760 220

Find the probability:

(i) of a household earning Rs 10000 – Rs 14999 per year and having exactly one television.

(ii) of a household earning Rs 25000 and more per year and owning 2 televisions.

(iii) of a household not having any television.

Answers (1)

Here, total events =4000

(i) A household earning Rs 10000 – Rs 14999 per year and having exactly one television.

Favourable outcomes =240

 \text{Required probability}=\frac{240}{4000}=\frac{3}{50}

(ii) A household earning Rs 25000 and more per year and owning 2 televisions.

Favourable outcomes =760

\text{Required probability}=\frac{760}{4000}=0.19

(iii) A household not having any television.

Favourable outcomes =20+10

\text{Required probability}=\frac{30}{4000}=\frac{3}{400}

Posted by

infoexpert23

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