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 ggb, then =Rggb2. Suppose that the random variable X is defined in terms of R as follows: =X−4R−2R24. The values of X are thus: Outcome bgg ggb bbb ggg bgb gbg bbg gbb Value of X −4 −4 −4 −10 −2 −4 −2 −2 Calculate the probability distribution function of X, i.e. the function pXx. First, fill in the first row with the values of X . Then fill in the appropriate probabilities in the second row.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 ggb, then =Rggb2. Suppose that the random variable X is defined in terms of R as follows: =X−4R−2R24. The values of X are thus:
| Outcome |
bgg
|
ggb
|
bbb
|
ggg
|
bgb
|
gbg
|
bbg
|
gbb
|
| Value of X
|
−4
|
−4
|
−4
|
−10
|
−2
|
−4
|
−2
|
−2
|
Calculate the
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
