The table below gives the probability distribution of a discrete random variable X 1 2 3 4 5 1 17 19 37 91 P(X = x) k 216 216 216 216 216 (a) Determine the value of k (b) Calculate the mean of X (c) Compute the variance of X

Q: Two independent random variables are defined with the following distributions: X p 1 2 3 (a) 0.5 0.2…

A: It is given that  and  are two independent random variables with probability distribution…

Q: Consider the discrete random variable X1, with probability pi X = with probability p2 X2, with…

A:

Q: Find: a. E(XY) b. Covariance (XY)

A:

Q: The second worksheet is the pdf of a random variable U, presented as a tabled probability…

A: From the provided information, u P(u) 0 0.3 1 0.1 2 0.1 3 0.1 4…

Q: The table shows the probability distribution for the num- ber of points (X) a player can win by…

A: Given,x12345P(x)0.40.20.20.10.1E(x)=∑x.P(x)E(x)=(1*0.4)+(2*0.2)+(3*0.2)+(4*0.1)+(5*0.1)E(x)=0.4+0.4+…

Q: Let X denote the number of VCRs sold during a random week by a certain store. The probability…

A:

Q: Let X be a random variable with probability function f(x) = 36 1 49 x² Calculate the variance of X.…

A: f(x)=

Q: Can you please help me calculate the expected value of x and the variance of x.

A: x p(x) x*p(x) x2*p(x) 0 0.0278 0 0 1 0.0833 0.0833 0.0833 2 0.1389 0.2778 0.5556 3 0.1944…

Q: Let X be a random variable with mean 6 and variance 3. Let Y be the random variable counting the…

A: Given that  E(X) = 6 , V(X) = 3 Let Y be the random variablecounting the number of times the number…

Q: The table below shows the respective probabilities that a number of power failures will strike a…

A:

Q: Let X and Y be random variables where the expected value of X is 1, expected value of Y is 4,…

A: Given that E(X)=1E(Y)=4Var(X)=4Var(Y)=6Corr(X,Y)=0.50 Here Z=3X-2Y.

Q: Y is a random variable and "a" and "b" two real constants. Without resorting to the properties of…

A: Given that, Y is a random variable and "a" and "b" two real constants. Without resorting to the…

Q: Three zero mean, unit variance random variables X, Y, and 2 are added to form a new random variable,…

A: Random variables and  have zero mean and unit variances.That is:  and These variables are added to a…

Q: The Internal Revenue Service reports that the mean federal income tax paid in a recent year was…

A: Let  denote the Internal Revenue Service reports the federal income tax paid in a recent year.The…

Q: A local library is analyzing the number of books checked out by patrons in a week. The probability…

A: Let X be the random variable which denotes the number of books checked out by patrons in a week. The…

Q: Suppose you have the following discrete probability distribution. What is the mean of XP What is the…

A:

Q: In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000).  The table…

A: Solution: x= The X-Tract Company’s projected annual profit (in $1,000). f(x)=  The probability of…

Q: Suppose a discrete random v mass function (where c> 0 is a constant): 1 5c p(w) 2c

A: According to the sum, a) We know, ∑w=04p(w)=1 So, 2c+5c/4+c/2+c/4=1 Or,4c=1 Or, c=1/4 The value os…

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.