Question
In: Statistics and Probability
A woman plans to bear three children. The probability of having a boy is 50%. Out...
A woman plans to bear three children. The probability of having
a boy is 50%. Out of the three childer she bears, determine:
a) Mean number of boys (using the formula) (Ans: 1.5)
b) Standard Deviation of the number of boys (using the formula)
(Ans: 0.866)
c) Sketch the density function of the number of boys and comment on
whether the mean and standard deviation in parts a and b are
plausible. (Ans: P={0.125 0.375 0.375 0.125} for 0, 1, 2, and 3
respectively)
d) Sketch the distribution function of the number of boys.
Solutions
orchestra answered 1 year agoRelated Solutions
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What if their first cheild is an albino girl, what his is the
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a couple intends to have three children. assume (for some reason) that having a boy or...
a couple intends to have three children. assume (for some
reason) that having a boy or a girl are not equally likely events,
and that p(boy)=.4 and p(girl)=.6 for each delivery also assume the
births are independent of each other
(a. what is the sample space of this experiment? Use a tree
diagram and label the branches with their corresponding
probabilities. Then make a table including all outcomes from the
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(b. Find the probability that...
Boys and Girls: Suppose a couple plans to have two children and the probability of having...
Boys and Girls: Suppose a couple plans to have
two children and the probability of having a girl is 0.50.
(a) What is the sample space for the gender outcomes?
{bb, bg, gg}
{b,g}
{bb, bg, gb, gg}
{bb, gg}
(b) What is the probability that the couple has one boy and one
girl?
1
3
1
4
1
2
3
4
(c) What is the probability that the couple will have at least one
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1
4
1...
Consider a family with 4 children. Assume the probability that one child is a boy is...
Consider a family with 4 children. Assume the probability that
one child is a boy is 0.5 and the probability that one child is a
girl is also 0.5, and that the events "boy" and "girl" are
independent.
(a) List the equally likely events for the gender of the 4
children, from oldest to youngest. (Let M represent a boy
(male) and F represent a girl (female). Select all that
apply.)
FMMFone M, three
F'sFFFFMMMMFMFMFMFFtwo M's, two
F'sthree M's, one...
Suppose the probabilities of having a boy or a girl child arethe same—both are 50%....
Suppose the probabilities of having a boy or a girl child are
the same—both are 50%. Answer the following questions about a
couple that has two children, showing any calculations.a. What is the probability that the couple has two girls?b. The eldest of the two children is a girl. Given this, what is
the probability that the couple has two girls?c. At least one of the children is a girl. What is the
probability that the couple has two girls?Your...
Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having...
Assuming that boy and girl babies are equally likely, what
would be Kathy's probability of having at most three daughters if
she were to have four children altogether? (You may want to use a
tree diagram to construct the sample space.)
In a family with 6 children, excluding multiple births, what is the probability of having exactly...
In a family with 6 children, excluding multiple births, what is
the probability of having exactly 2 girls?
Assume that having a boy is as likely as having a girl at each
birth.
---------------------------------
A biotechnology company produced 201 doses of somatropin,
including 9 which were defective. Quality control test 15 samples
at random, and rejects the batch if any of the random samples are
found defective. What is the probability that the batch gets
rejected?
--------------------------------
A math professor...
In a family with 6 children, excluding multiple births, what is the probability of having exactly...
In a family with 6 children, excluding multiple births, what is
the probability of having exactly 2 girls?
Assume that having a boy is as likely as having a girl at each
birth.
---------------------------------
A biotechnology company produced 201 doses of somatropin,
including 9 which were defective. Quality control test 15 samples
at random, and rejects the batch if any of the random samples are
found defective. What is the probability that the batch gets
rejected?
--------------------------------
A math professor...
In a family with 7 children, excluding multiple births, what is the probability of having exactly...
In a family with 7 children, excluding multiple births, what is
the probability of having exactly 2 girls?
Assume that having a boy is as likely as having a girl at each
birth.
A coin is tossed 8 times.
a) How many different outcomes are possible?
b) What is the probability of getting exactly 2 heads?
c) What is the probability of getting at least 2 heads?
d) What is the probability of getting at most 4 heads?
In the...
There were 2,074,000 baby girl and 2,173,000 baby boy born. We often assume that the probability of having a boy or a girl is 0.5 because of the chromosomal determination of sex in
There were 2,074,000 baby girl and 2,173,000 baby boy born. We
often assume that theprobability of having a boy or a girl is 0.5 because of the
chromosomal determination of sex inhumans. Is there reason to think that the sex ratio in the
United States favor more baby boys?To answer this question, find the probability that an equal
chance of getting a boy would give2,173,000 boys or more in 4,247,000. What do you conclude?
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