India is the second most populous country in the world, with a population of ove

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 0.06 0.11 0.18 0.23 0.09 0.16 0.11 0.06 a. What is the probability that there are less than 5 members in a household in India? (Round your answer to 2 decimal places.) Probability b. What is the probability that there are 5 or more members in a household in India? (Round your answer to 2 decimal places.) Probability c. What is the probability that the number of members in a household in India is strictly between 3 and 6? (Round your answer to 2 decimal places.) Probability

Explanation / Answer

Solution:-

a) The probability that there are less than 5 members in a household in India is 0.58.

P(x < 5) = P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

P(x < 5) = 0.06 + 0.11 + 0.18 + 0.23

P(x < 5) = 0.58

b) The probability that there are 5 or more members in a household in India is

P(x > 5) = P(x = 5) + P(x = 6) + P(x = 7) + P(x = 8)

P(x > 5) = 0.09 + 0.16 + 0.11 + 0.06

P(x > 5) = 0.42

c) The probability that the number of members in a household in India is strictly between 3 and 6 is 0.32.

P(3 < x < 6) = P(x = 4) + P(x = 5)

P(3 < x < 6) = 0.23 + 0.09

P(3 < x < 6) = 0.32

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---