Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80…

Q: 1) Assume the following joint probability distribution: P(x,y) 1 3 5 сл 2 0.1 0 0.1 Y 5 0.3 0.1 0.1…

A: To find the marginal probability distribution of x and y, we add the probabilities for values of x…

Q: Find the variance for a given probability distribution. x: 0, 22, 4, 6 p(x): 0.05, 0.17, 0.43, 0.35

A: We have given that the probability distribution.

Q: Let X be the random variable with distribution defined by the following table. Answer following…

A: To calculate: 1. Fill the table 2.Mean 3. Variance

Q: Suppose Y is a discrete random variable with the following probability distribution: P(Y = 1) = 0.25…

A: Introduction In statistics, a discrete random variable is a random variable that can take on a…

Q: Q4: The random variable X has the probability distribution shown 1. 3 4 P(X = x) 7c 5c 4c 3c (1)…

A:

Q: Prepare a probability distribution then find the mean, variance and standard deviation for the…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.21 - 0.7 X=2 - 0.09 - 0.3…

Q: Q. 3. The Frequency distribution of marks of 800 students given below: Marks: 40-50 50-60 60-70…

A: As per our guidelines, we are allowed to answer three sub-parts a) Mean : Class Frequency 40 -…

Q: Q 5) A die with six faces is rolled. The discrete random variable "X" represents the outcomes on the…

A: given distribution is x 1 2 3 4 5 6 P(X=x) a a a b b 0.3 table represents probability…

Q: 3 4 5 6 7 8 0.3100 0.1200 0.1700 0.1200 0.1300 0.1000

A: The Probability that on a given day discipline officers discover violations Number of violations…

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: Four fair coins are tossed. X is the number of heads that occur. (1) Find the probability function…

A: Given that  Four fair coin are tossed  X=Number of heads n=4 , p=1/2=0.5 , q=1-p=1-0.5=0.5…

Q: table in such a way that X and Y are dependent random variables. Y= -3 Y=-1 Y=0 X=-2 0.01 0.10 X=-1…

A: Given that ; A discrete two dimensional random variable table is given  By using marginal formula…

Q: 7. If X and Y are independent random variables drawn from the standard uniform distribution, on the…

A: Given  X, Y ~ U(0,1)  X and Y are independent.

Q: 7. The mode and variance of the daily income of 2000 workers are Tk. 100 and Tk² 36 respectively.…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   Since, it is…

Q: Find E(X), Var(X), and the standard deviation of X, where X is the random variable whose probability…

A: According to given data: The value of E(X): EX=149+249+319EX=49+89+39EX=159EX=1.66

Q: Discrete probability distribution (ii) Expectation (iii) Variance (1)

A:

Q: People's arrivals at a register occur at a constant rate of 7 per hour. It  will take about 10…

A: Given that rate of arrival  = 7 per hour and we can assume that arrival rate follows Poisson…

Q: 5. A discrete random variable can assume 5 possible values, as listed in the accompanying…

A:

Q: Consider the joint probability distribution of X and Y: x = -2 x = 0 x = 2 %3D y = -4 0.25 0.25 y= 0…

A: Since you have asked multiple question, we will solve the first question for you. If you want the…

Q: Q3: A business measurement is a random variable defined by a normal distribution. The variance of…

A: The variance of this population is 2 .The sample variance for 21 randomly selected observations from…

Q: Classify the following random variables as discrete or  continuous. ______1. X= the number of cars…

A: In statistics, the continuous variables are variables whose values can be given by an interval, they…

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: I. APPLICATION. Compute for the mean and variance of the given discrete probability distribution.…

A: The mean for discrete probability distribution can be given as, μ=∑i=1nXiP(Xi), where Xi denotes the…

Q: The probability of Jack making a free throw is 0.90. Assume one morning, he will attempt 5 shots and…

A: X follows Binomial distribution: X ~ Binomial( n, p)