Question
In: Statistics and Probability
Estimate, by simulation, the average number of children there would be in a family if all people had children until they had a girl.
in R.
Estimate, by simulation, the average number of children there would be in a family if all people had children until they had a girl. Do the same if all people had children until they had at least one boy and at least one girl. How many more children would you expect to find under the second scheme than under the first in 100,000 families? (Assume that girls and boys are equally likely.)
Solutions
Expert Solution
1) The average number of children there would be in a family if all people had children until they had a girl = 1.99722
2) The average number of children there would be in a family if all people had children until they had at least one boy and at least one girl = 3.00191
3) How many more children would you expect to find under the second scheme than under the first in 100,000 families?
100469 more children.
orchestra answered 2 years agoRelated Solutions
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The average number of people in a family that received welfare for various years is given...
The average number of people in a family that received welfare
for various years is given below.
Year
Welfare family
size
1969
4.0
1973
3.6
1975
3.2
1979
3.0
1983
3.0
1988
3.0
1991
2.9
Part (a)
Calculate the least squares line. Put the equation in the form
of:
? = a+ bx.
(Round your answers to three decimal places.)
? = ________ + _______ x
Part (b)
Find the estimated welfare family size in 1972. (Use
your equation from...
The average number of people in a family that received welfare for various years is given...
The average number of people in a family that received welfare
for various years is given below.
Year
Welfare family size
1969
4.0
1973
3.6
1975
3.2
1979
3.0
1983
3.0
1988
3.0
1991
2.9
Part (a) Using "Year" as the independent variable and "Welfare
family size" as the dependent variable, make a scatter plot of the
data.
Part (b) Calculate the least squares line. Put the equation in
the form of: ? = a + bx. (Round
your answers...
The average number of people in a family that received welfare for various years is given...
The average number of people in a family that received welfare
for various years is given below.
Year
Welfare family size
1969
4.0
1973
3.6
1975
3.2
1979
3.0
1983
3.0
1988
3.0
1991
2.9
Part (b) Calculate the least squares line. Put the equation in
the form of: ? = a + bx. (Round
your answers to three decimal places.)
? = + x
Part (g) Using the rounded least squares line, estimate the
welfare family sizes for 1960...
The average number of people in a family that attended college for various years is given...
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year
number of family members attending college
1969
4.0
1973
3.6
1975
3.2
1979
3.0
1983
3.0
1988
3.0
1991
2.9
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YEAR
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1973
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1975
3.2
1979
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1983
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1988
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1991
2.9
y=88.721+ -0.043x
part d.
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_______ people.
Find the estimated welfare family size in 1989. (Use your
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