"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 for the household size in India. Col1 Household Size 1 2 3 4 5 6 7 8 Col2 Probability 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 a. What is the probability that there are less than 5 members in a household in India"b. What is the probability that there are 5 or more members in a typical household in India? (Round your answer to 2 decimal places.)Probability
c. What is the probability that the number of members in a typical household in India is strictly between 2 and 5? (Round your answer to 2 decimal places.)
Probability
Answers
The probability that the number of members in a typical household in India is less than 5, greater than or equal to 5, and strictly between 2 and 5 are 0.54, 0.46, and 0.43 respectively
Probability distribution
Given the probability distribution for the household size in India as shown;
X 1 2 3 4 5 6 7 8 Total
P 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 1.00
a) The probability that the number of members in a typical household in India is strictly less than 5 is given as:
P(X < 5) = P(X=1) + P(X=2) + P(X=3) + P(X=4)
P(X < 5) = 0.02+ 0.09 + 0.18 + 0.25
P(X < 5) = 0.54
b) The probability that the number of members in a typical household in India is greater or equal to 5 is given as:
P(X ≥ 5) = P(X=5) + P(X=6) + P(X=7) + P(X=8)
P(X ≥ 5) = 0.20 + 0.12 + 0.08 + 0.06
P(X ≥ 5) = 0.46
c) The the probability that the number of members in a typical household in India is strictly between 2 and 5
P(2 < X < 5) = P(X=3) + P(X=4)
P (2 < X < 5) = 0.18 + 0.25
P (2 < X < 5) = 0.43
Hence the probability that the number of members in a typical household in India is less than 5, greater than or equal to 5, and strictly between 2 and 5 are 0.54, 0.46, and 0.43 respectively
Learn more on probability distribution here: brainly.com/question/24756209
Answer:
0.54,0.46,0.43
Step-by-step explanation:
Given that India is the second most populous country in the world, with a population of over 1 billion people.
The pdf of household size say X in India varies from 1 to 8.
The distribution is shown as follows
X 1 2 3 4 5 6 7 8 Total
P 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 1.00
a) the probability that there are less than 5 members in a household in India
=
=
b. the probability that there are 5 or more members in a typical household
in India
=
c) the probability that the number of members in a typical household in India is strictly between 2 and 5
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Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
G (x) = f (x + h)
G (x) = (x + 5) ^ 2
Answer:
The graph of G (x) is given by:
G (x) = (x + 5) ^ 2
option D
This means a horizontal translation of 5 units to the left of F(x) will result in G(x). Such a translation can be obtained from adding 5 to each x in the equation.
So,
G(x) = F(x+5)
F(x) = (x+5)²
So the correct answer is option D