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.

A company selected 4000 households at random and surveyed them to find

1.	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.
Answer» 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`.