Suppose X is a discrete random variable with pmf f (x) as shown in the table: 4 1 2 3 16 4 12 18 f(x) 50 50 50 50 Find the cumulative distribution for X and give a graph of the cdf.

Q: Let X refer to the sum of two rolled die. Describe the probabilities of each outcome. If pX(x) is…

A: It is given that x denotes the sum of two rolled dies.

Q: Suppose that we have a discrete random variable Xa with PDF and CDF fa(x) and Fa(x), and a…

A: Explain the concept of mixed random variables. Let Y be a discrete random variable , Z be a…

Q: In a NiCd battery, a fully charged cell is composed of Nickelic Hydrox- yde. Nickel is an element…

A:

Q: Let (S, P) be the sample space in which S = {1,2,3,4} and P is given by P(1) 0.1, P(2) = 0.2, P(3) =…

A:

Q: 2. Let X be a discrete random variable with the following CDF: 0 for x > 3. Find the range and…

A: 2.    p.m.f. of X  is     P(X=0) = 16 P(X=1) = 26 P(X=2) = 14 P(X=3) = 14

Q: Let (S, P) be the sample space in which S = {1, 2, 3, 4} and P is given by P (1) = 0.1, P (2) = 0.2,…

A: According to the given information, let (S,P) be the sample space in which S={1,2,3,4} and P is…

Q: Assume I observe 3 data points x1, x2, and x3 drawn independently from the same unknown probability.…

A: From given data we have : Prx1|M=0.5,Prx2|M=0.1,Prx3|M=0.2.

Q: If n independent random variables have the same gamma distribution with a and ß, find the…

A: It is given that n independent random variables have the same gamma distribution with parameters α…

Q: Consider the following probability distribution where random variable X denotes the number of cups…

A: Given data is  x 0 1 2 3 4 5 P(x) 0.35 0.40 0.16   0.02 0.02

Q: Assume that a joint probability distribution function is given by: p(x,y) X 0 5 10 Find: •E(x), E…

A: The joint probability distribution function is given by, P(x,y) y 0 5 10 15 x 0 0 0.1 0 0.1…

Q: Q4. The following table shows the probability mass function for the discrete random variable X: k 2…

A:

Q: 2. The consumer taste evaluation of a certain microwave dinner (on a continuous scale 0-10) X has…

A: (a) The probability that the next consumer will evaluate the dinner between 5 and 8 is 0.375 (or…

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.