I asked this question (If X(n,p) is a binomial random variable with parameters n and p, then why is it that X(n+1,p) stochastically dominates X(n,p)?) this morning and got a response which was fine--no complaints about that! But, I was wondering if the question could be answered without showing a formal proof, but rather just by a verbal-type of explanation? I was thinking something along these lines: X(n+1,p) stochastically dominates X(n,p) since the expected value of X(n+1,p)=(n+1)p is greater than the expected value of X(n,p)=np, and X(n+1,p) and X(n,p) are increasing functions. Let me know if this makes sense or needs revision. Thanks for the help. I appreciate it.
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.
I asked this question (If X(n,p) is a binomial random variable with parameters n and p, then why is it that X(n+1,p) stochastically dominates X(n,p)?) this morning and got a response which was fine--no complaints about that! But, I was wondering if the question could be answered without showing a formal proof, but rather just by a verbal-type of explanation?
I was thinking something along these lines: X(n+1,p) stochastically dominates X(n,p) since the
Thanks for the help. I appreciate it.
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