Question

India is the second most populous country in the world, with a population of over 1 billion people. Although the government has offered various incentives for population control, some argue that the birth rate, especially in rural India, is still too high to be sustainable. A demographer assumes the following probability distribution for the household size in India. Household Size Probability 1 0.05 2 0.09 3 0.12 4 0.24 5 0.25 6 0.12 7 0.07 8 0.06 a. What is the probability that there are less than 5 members in a household in India

Answer 1

`P(At\ least\ 5) = 0.50`

Explanation:

Given:

`\begin{array}{cc}{Size} & {Probability} & {1} & {0.05} & {2} & {0.09} \ \\ {3} & {0.12} & {4} & {0.24} & {5} & {0.25} & {6} & {0.12} & {7} & {0.07} & {8} & {0.06}\ \end{array}`

Required

Determine the probability that there are at least 5 members in a household

At least 5 means 5 to 8.

So, the probability is:

`P(At\ least\ 5) = P(5) + P(6) + P(7) + P(8)`

`P(At\ least\ 5) = 0.25 + 0.12 + 0.07 + 0.06`

`P(At\ least\ 5) = 0.50`

The probability is 0.50