Let X be a discrete random variable with probability mass function given in the following table: -3 -1| 0 1.5 2.5 p(x) | 0.1 0.2 0.4 0.1 0.2 Find the following probabilities: (i) P(X > 0) = %3D (ii) P(-3 < X < 1.5) = (iii) P(X # 0) =

Q: Let X be a random variable with the following probability distribution. Value  x  of  X P (X=x) 10…

A: Let  be a random variable with the following probability distribution.Value x of…

Q: Let X be a discrete random variable with the following probability distribution: X = 0 | P(X = 0) =…

A: The discrete value of x and their probability are, X 0 1 2 3 4 5 6 P(X=x) 0.1 0.15 0.2 0.25…

Q: Let X be a random variable with probability distribution as shown below: -1<x<2 f (x)={3 and…

A:

Q: (a) A discrete random variable, X, has the following probability function P(x) 03 -2 -1 12 p(x) 0.3…

A: x P(x) -2 0.3 -1 0.2 1 0.2 2 0.3   we have to solve q-4.

Q: (a) Find the expectation E (X) of X. E (x) = 0 %3D (b) Find the variance Var(X) of X.

A: We have to calculate the mean and variance of X for given probability distribution.

Q: =2 = 3 = 4 = 5 6 7 8 00 Let X be a random variable with the following probability distribution.…

A: Step 1:a)The probability distribution of the random variable X is given. Step 2:Consider the…

Q: Compute the variance of the following probability distribution. If X is a random variable, then the…

A: kP(X=k)00.210.220.530.1

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -3 0.40…

A:

Q: Let X be a random variable with the following probability distribution. Value x of X P (X=x) 1 0.05…

A: Solution-: We have following table: X P(X=x) 1 0.05 2 0.85 3 0.05 4 0.05 We find, (a)…

Q: 0.10 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E…

A: It is given that the random variable X with probability distribution function.

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 -10…

A: According to the given information, we haveThe probability distribution table for the given random…

Q: Let X be a random variable with the following probability distribution. Value x of X P (X=x) 0…

A: Solution

Q: The discrete random variable X has the probability function, where k is constant kx x = 2, 4, 6, 8…

A: Answer - The discrete random variable X has the probability function               f(X) = Kx…

Q: Let X be a random variable with the following probability distribution. Valuex of X P(X=x) -10 0 10…

A:

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -30 -20…

A: Probability distribution of X : X P(X=x) -30 0.1 -20 0.45 -10 0.2 0 0.1 10 0.15

Q: Data is drawn from a binomial (5, 0) distribution, where is unknown. Here is the table of…

A:

Q: Let X be a random variable with the following probability values. f(x) = c(1 – 2x2 + x³), x = 0,1,…

A: Let X be a random variable with the following probability values. fx=c1-2x2+x3,    x=0,1,2,3,4,5 a)…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 0.30…

A: There are 6 values of x are given. The probability values are given for those x values. We have to…

Q: The random variable X has probability distribution given in the table below -2 -1 1 2 P(X=x) 0.1 0.3…

A:

Q: Determine the following probabilities: P(X > 0.25, Y 0.25, Y 0.25, Y < 4.5) = 1/2 P(Y < 1.5) = 2/3

A:

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -30 0.65…

A:

Q: Let X be a random variable with the following probability distribution Value x of X 2 3 لیا 4 5 PX=x…

A: E(X)=∑X.P(X)E(X2)=∑X2.P(X)V(X)=E(X2)-(E(X))2

Q: Solve for P(X < 4). Express your answer in two (2) decimal places. P(X s 4) =

A: Given : X 1 2 3 4 5 6 p ( X )  0.12 0.09 k 0.08 0.11 0.33

Q: X p(x) 0 0.5 1 0.3 2 0.2

A: Let X be the Random variable having probability mass function is,  X 0 1 2 P(X)  0.5 0.3 0.2…

Q: The random variable X has the following probability distribution. X -1 4 7 8 (b) P(X ≥ 1) P(x) (c)…

A: Answer:From the given data,XP(X)-10.440.1570.2580.2Total1.00

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -2 0.05…

A: Given probability distribution table is value x of X P(X=x) -2 0.05 -1 0.35 0 0.25 1 0.35…

Q: Let the discrete random variable X represent the number of good components in the sample. The…

A: The random variable X is the number of good components in the sample The probability distribution is…

Q: Let A be a random varlable with the following probability distribution. Value x of X P (X=x) -1 0.05…

A: Given that  The probability distribution table  X -1 0 1 2 P(X)  0.05 0.50 0.35 0.10   We…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 0.30…

A: Let X be the random variable having probability distribution is,  X -20 -10 0 10 20 P(X=x)…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 3 4 5 6…

A: X (X=x)  3 0.35 4 0.40 5 0.15 6 0.10 Then,  Expectation of X E(X) and variance of X…

Q: Determine the following probabilities: P(X < 0.5, Y < 1.5) and P(X < 0.5) y f(x, y) -1.0 -2 1/3 -0.5…

A:

Q: Let X be a random variable with the probability distribution below. Find g(x), where g(x) = (2x +…

A: Given datax          -3        6         9f(x)       512      112      12andg(x)=(2x+3)2

Q: Let X be a random variable with the following probability distribution. Value  x  of  X P(X=x) -2…

A: Given, X P(X=x) -2 0.25 -1 0.20 0 0.40 1 0.10 2 0.05