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 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 d. Graphically depict this probability distribution. Click on the x-axis exactly below the “0” point and then drag the bar till it reaches the correct answer.
We have provided with the Household Size Probability details and it is as follow
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
Now we will calculate,
a. What is the probability that there are less than 5 members in a household in India = 0.50 Probability
probabelity for less than 5 members in a household in India is as follow
P ( x < 5) = P ( x= 1)+ P ( x= 2)+ P ( x= 3)+ P ( x= 4)
= 0.05+0.09+0.12+0.24
=0.50
b. What is the probability that there are 5 or more members in a household in India = 0.50 Probability
probabelity for more or equal to 5 members in a household in India is as follow
P ( x > 5) = 1- P ( x < 5)
= 1 – ( P ( x= 1)+ P ( x= 2)+ P ( x= 3)+ P ( x= 4))
= 1 – (0.05+0.09+0.12+0.24)
=0.50
C What is the probability that the number of members in a household in India is strictly between 3 and 6 = 0.49 Probabelity
probabelity for number of members in a household in India is strictly between 3 and 6 is as follow
P = P ( x= 4) +P ( x= 5)
= 0.24 +0.25
= 0.49
Server do not support so i am unable tp upload the image of graph
