Homework SourseIndia is the second most populous country in the world with
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 of the household size in India.
What is the probability that there are less than 5 members in a typical household in India? (Round your answer to 2 decimal places.)
What is the probability that there are 5 or more members in a typical household in India? (Round your answer to 2 decimal places.)
What is the probability that the number of members in a typical household in India is greater than 4 and less than 7 members? (Round your answer to 2 decimal places.)
| Household Size | Probability |
| 1 | 0.04 |
| 2 | 0.09 |
| 3 | 0.14 |
| 4 | 0.20 |
| 5 | 0.29 |
| 6 | 0.14 |
| 7 | 0.08 |
| 8 | 0.02 |
Solution
a)
P(less than 5) = P(1) + P(2) + P(3) + P(4)
= 0.04 + 0.09 + 0.14 + 0.20
= 0.47 [answer]
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b)
P(5 or more) = 1 - P(less than 5) = 1 - 0.47 = 0.53 [answer]
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c)
P(greater than 4 but less than 7) = P(5) + P(6) = 0.29 + 0.14 = 0.43 [naswer]
