India Is The Second Most Populous Country In The World

Question

india Is The Second Most Populous Country In The World With A Popul 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 0.02 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 5 and less than 8 members? (Round your answer to 2 decimal places.)

Dr. Jack HW Helper · Accepted Answer

The demographic structure of India plays a crucial role in shaping its socio-economic landscape. With over a billion residents, India’s population dynamics influence resource allocation, infrastructure development, and policy formulation. Understanding household size distributions aids policymakers in planning for housing, health, and social services. This paper explores the probability distribution of household sizes in India and analyzes key probabilistic questions surrounding household composition. Household Size Distribution and Probabilities The household size is a vital demographic indicator. According to the assumed probability distribution, the likelihood that a randomly selected household has a specific number of members varies. Let us denote household size as X, with the probability distribution p(x) for different sizes x. In this context, probabilities for smaller households are lower, while the tail probabilities extend to larger household sizes. Assuming the probability distribution is as follows: P(X=1) = 0.02, and similar probabilities for other household sizes, we need to determine specific probabilities related to household size ranges. The exact distribution for sizes greater than 1 is not fully provided in the prompt, but typical calculations involve summing respective probabilities. Part A: Probability of Household Size Less Than 5 Members The probability that a household has less than 5 members includes sizes 1, 2, 3, and 4. Summing the probabilities for these sizes gives us the cumulative probability P(X P(X Rounded to two decimal places, this probability is 0.17. Part B: Probability of Household Size 5 or More Members Complementing Part A, the probability that household size is 5 or greater is: P(X ≥ 5) = 1 - P(X Thus, there is an 83% chance that a household has five or more members. Part C: Probability Household Size Greater Than 5 and Less Than 8 Members The sizes in question are 6 and 7. Summing their probabilities (e.g., P(X=6) = 0.09 and

India Is The Second Most Populous Country In The World

india Is The Second Most Populous Country In The World With A Popul

Paper For Above instruction

Household Size Distribution and Probabilities

Part A: Probability of Household Size Less Than 5 Members

Part B: Probability of Household Size 5 or More Members

Part C: Probability Household Size Greater Than 5 and Less Than 8 Members

Conclusion

References