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

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 owning 2 televisions.
iii) of a household not having any television.

Explanation

The total number of the households selected by the company.
n(S)=4000
i) Number of households earning Rs 10000 - Rs 14999 per year and having exactly one television, `n(E_(1))=240`
`therefore` Required probability =`(n(E_(1)))/(n(E_(S)))=240/4000=6/100=3/50=0.06`
Hence, the probability of a household earning Rs 1000 - Rs 14999 per year owning 2 televisions, `n(E_(2))=760`
Required probability = `(n(E_(2)))/(n(S))=760/4000`
`=0.19`
Hence, the probability of a household earning Rs 25000 and more per year owning 2 televisions is 0.19.
Hence, the probability of a household earning Rs 25000 and more per year owning 2 televisions is 0.19.
iii) Number of households not having any televisions, `n(E_(3))=30`
`therefore` Required probability`=(n(E_(3)))/(n(S))= 30/4000=3/400`
Hence, the probability of a household not having any television is `3//400`.