India is the second most populous country in the world, with a population of ove
ID: 3126108 • 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. 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
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 strictly between 3 and 6? (Round your answer to 2 decimal places.)
What is the probability that there are less than 5 members in a typical household in India? (Round your answer to 2 decimal places.)
Explanation / Answer
Let size of a household be denoted by the random variable x.
Probability that there are less than 5 members in a typical household in India:
P(x<5) = P(x=1) +P(x=2) +P(x=3) +P(x=4) = 0.5
Probability that there are 5 or more members in a typical household in India: P(x>4) = P(x=5)+P(x=6)+P(x=7)+P(x=8) = 0.5
Probability that the number of members in a typical household in India is strictly between 3 and 6: P(3<x<6) = P(x=4) + P(x=5) = 0.49