Question

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 Television/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 of a household not having any television.

Answer 1

The total number of the households selected by the company, n(S) = 4000

Number of households not having any television, n(E₃) = 30

∴ Required probability = `(n(E_3))/(n(S)) = 30/4000 = 3/400`

Hence, the probability of a household not having any television is `3/400`.