X is a Discrete Random Variable that can take five values Given The five possible values...
Please help me to solve this probability problem. 2. Consider a random variable X with the following PDF f(x) f(x) = for 0s x<1 x, 2-x for 1s XS2 otherwise (a) Consider 6 independent random variables X, X2, X3, X4, X5, Xs with the PDF f(x) given above. What will be the PDF of Y= (X1+X2+ X3+ X4+ Xs* X6) approximately? Explain it. (b) Compute the probability of Y>8.
A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. It’s probability distribution is shown below: Find the probability that the random variable x value greater than 5 Probability Distribution: x 2 3 5 8 10 P (x) 0.100.2.00.300.300.10
Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. Also, calculate the expected value of X. Round solution to three decimal places, if necessary.x46710111219P(x)0.140.080.140.080.110.320.13μ=σ2=σ=What is the expected value of X ?E(X)=
Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of points scored during a basketball game. (b) The square footage of a house. (a) Is the number of points scored during a basketball game discrete or continuous? O A. The random variable is continuous. The possible values are x = 0, 1, 2,.... OB. The random variable is continuous. The possible values are x20. O C....
Suppose that X is a discrete random variable with pmf, p(x), arn x1 and x2 be numerical values in the range of X. dCDEFGT-Let- What should be in the blank space? F(0) Fx1)
Fill in the P(x=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -2,-1,0, 1, and 2. Value x of x P ( X = x) -2 0.26 0 0.26 1 2 0.14 X 5 ?
Problem 3. Let X be a discrete random variable, with probability distribution P(X X1) = 0.95, P(X X2) = 0.05. Determine x, and X2 such that E(X-0 and σ2(X) = 7.
Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of points scored during a basketball game. (b) The time it takes for a light bulb to burn out. (a) is the number of points scored during a basketball game discrete or continuous ? O A. The random variable is continuous. The possible values are x 20. OB. The random variable is discrete. The possible values are...
1. The probability distribution of a discrete random variable X is given by: P(X =-1) = 5, P(X = 0) = and P(X = 1) = ? (a) Compute E[X]. (b) Determine the probability distribution Y = X2 and use it to compute E[Y]. (c) Determine E[x2] using the change-of-variable formula. (You should match your an- swer in part (b). (d) Determine Var(X).
Let X be a discrete random variable taking integer values 1, 2, ..., 10. It is also known that: P(X < 4) = 0.57, PCX 2 4) = 0.71. Then P(X = 4) = A: 0.14|B: 0.28 |C: 0.45 OD: 0.64|E: 0.73 OF: 0.95 Submit Answer Tries 0/5