The random variableXhas probability distribution defined as follows.P(X=x) = 6* *=23,4, 5,oherwise.(a) Show that P(X= 2) =The values of three independent observations of X are denoted by I,.I, and X,.() Given that I, +I +I, =9, detemnine the probability that at least one of these three values isequal to 2.Freda chooses values of I at random until she has obtained X = 2 exactly three times. She thenstops.() Determine the probabiliry that she chooses exactiy 10 valaes of I

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The random variable Xhas probability distribution defined as follows. x=2,3, 4, 5, P(x=x) = otherwise. (a) Show that P(X=2) =

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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.

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The random variableXhas probability distribution defined as follows.
P(X=x) = 6* *=23,4, 5,
oherwise.
(a) Show that P(X= 2) =
The values of three independent observations of X are denoted by I,.I, and X,.
() Given that I, +I +I, =9, detemnine the probability that at least one of these three values is
equal to 2.
Freda chooses values of I at random until she has obtained X = 2 exactly three times. She then
stops.
() Determine the probabiliry that she chooses exactiy 10 valaes of I

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