India is the second most populous country in the world, with a population of ove
ID: 3441000 • Letter: I
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 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 0.02Explanation / Answer
a)
P(less than 5) = P(1) + P(2) + P(3) + P(4)
= 0.04 + 0.09 + 0.14 + 0.20
= 0.47 [answer]
***********
b)
P(5 or more) = 1 - P(less than 5) = 1 - 0.47 = 0.53 [answer]
*************
c)
P(greater than 4 but less than 7) = P(5) + P(6) = 0.29 + 0.14 = 0.43 [naswer]