A family has three children. If the genders of these children are listed in the order...
A family has three children. If the genders of these children are listed in the order they are born, there are eight possible outcomes: BBB, BBG, BGB, BGG, GBB, GBG, GGB, and GGG. Assume these outcomes are equally likely. Let X represent the number of children that are girls. Find the probability distribution of X.
Part 1 out of 2
Find the number of possible values for the random variable X.
There are _______ possible values for the random variable X.
Homework Answers
The number of girls in a sample of 3 children can be 0, 1, 2 or 3. Hence,
Number of possible values = 4
Add Answer to:
A family has three children. If the genders of these children are listed in the order...
1. There are eight simple events that are possible when a couple has three children, where...
1. There are eight simple events that are possible when a couple has three children, where b= boy and g= girl. The combinations possible are: bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there is exactly 1 girl. Express your answer as either a fraction or decimal. 2. Using the same sample as...
Suppose that the genders of the three children of a certain family are soon to be...
Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For example, if the outcome is gbb, then R(gbb) = 2. Suppose that the random variable X is defined in terms of R as follows: X=2R-2. The values of X...
Answer asap please. Question 2 Suppose that the genders of the three children of a certain...
Answer asap please.
Question 2 Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is ggg, then R(988) = 3. Suppose that the random variable X is defined in terms of R as follows:...
12.48 Birth order. A cou- ple plans to have three children. There are eight possible ar-...
12.48 Birth order. A cou- ple plans to have three children. There are eight possible ar- rangements of girls and boys. For ex ample, GGB means the first two children are girls and the third child is a boy. All eight arrangements are (approximately) equally likely (a) Write down all eight arrangements of the sexes of three children. What is the probability of any one of these arrangements! (b) Let X be the number of girls the couple has. What...
Answer question 1 & 2 asap please. The question is indeed complete. Question 1 Fill in...
Answer question 1 & 2 asap please.
The question is indeed complete.
Question 1 Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -6, -5, 0,5, and 6. Value of x P(x = x) 0.12 -5 0.21 0 0 $ 0.12 6 ? Question 2 Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls"...
Let the random variable x represent the number of girls in a family with three children....
Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.31. The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? 0 1 2 3 P(x) 0.329 0.443 0.199...
What is the probability that a family with three children does not have three children of...
What is the probability that a family with three children does not have three children of the same gender? Assume boys and girls are equally likely. List all possible outcome for this event!
2) A couple plans to have 5 children. Let the random variable, x, be the number...
2) A couple plans to have 5 children. Let the random variable, x, be the number of girls that will occur. Assume that a boy or a girl is equally likely to occur and that the sex of any successive child is unaffected by the previous brothers or sisters. a) Enter the probabilities in a table if the random variable, x, can take on values 0, 1, 2, 3, 4, and 5. b) Find the mean number of girls (expected...
You select a family with three children. If M represents a male child and F a...
You select a family with three children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is shown below. Find the probability of selecting a family with at least one male child. MMM, MMF, MFM, MFF, {MMM, MMF, MFM, MFF, FMM, FMF, FFM , FFF The probability of having a least one male child is
8. Let the random variable x represent the number of girls in a family with three...
8. Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.35 The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? x P(x) 0 0.275 1 0.444 2 ...
Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For example, if the outcome is gbb, then R(gbb) = 2. Suppose that the random variable X is defined in terms of R as follows: X=2R-2. The values of X...
Answer asap please.
Question 2 Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is ggg, then R(988) = 3. Suppose that the random variable X is defined in terms of R as follows:...
12.48 Birth order. A cou- ple plans to have three children. There are eight possible ar- rangements of girls and boys. For ex ample, GGB means the first two children are girls and the third child is a boy. All eight arrangements are (approximately) equally likely (a) Write down all eight arrangements of the sexes of three children. What is the probability of any one of these arrangements! (b) Let X be the number of girls the couple has. What...
Answer question 1 & 2 asap please.
The question is indeed complete.
Question 1 Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -6, -5, 0,5, and 6. Value of x P(x = x) 0.12 -5 0.21 0 0 $ 0.12 6 ? Question 2 Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls"...
Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.31. The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? 0 1 2 3 P(x) 0.329 0.443 0.199...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago