A discrete random variable has a probability mass function p(x) given in the table below:   x -2 -1.5 1.3 4 p(x) 0.15 0.3 0.15 α   Find the value of α.  α=

Q: The probability distribution of a discrete random variable X is given below. Value x of X P(X=x) -1…

A:

Q: Find the expected value for the random variable: 1 2 P(X) 0.24 0.27 0.21 0.28

A: Given the probability distribution table: X 1 2 3 5 P(X) 0.24 0.27 0.21 0.28 Expected…

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: Find the expected value for the random variable

A:

Q: Let X be a Geometric random variable with parameter p = 1/4. Find E(4X + 1)² and V(3 + 2X). Two fair…

A:

Q: The values of x and their probabilities are listed below.  Calculate the intermediate products to…

A: x P(x) xP(x) 32 0.07 2.24 34 0.12 4.08 36 0.24 8.64 38 0.25 9.5 40 0.32 12.8 Total…

Q: Given the random variable X with distribution. x P(X = x) 0 0.15 0.5 0.24 1 0.09 1.5 0.34 2.0 0.18…

A: Answer  Given  x P(X = x) 0 0.15 0.5 0.24 1 0.09 1.5 0.34 2.0 0.18

Q: Fy be the cumulative di Fx (1) = 0 %3D F, (1) - F, (0) = D %3D Fx %3D 2

A: x p(x) F(X) -2 0.21 0.21 -1 0.28 0.49 0 0.2 0.69 1 0.15 0.84 2 0.16 1

Q: Find the mean, E[X], and variance, E[X2] - E[X], of a Uniform[a, b] random variable.

A: Given that X follows Uniform (a,b)  We have to find E(X) , Variance and E(X2)-E(X)

Q: The probability distribution of a discrete random variable X is given below. Value x of X P(X=x) -1…

A: Given : The probability distribution of a discrete random variable X is given below:Let F(X) be the…

Q: Let X be a non-negative random variable that is not a constant. The product E(1/X) times E(X) is…

A: The question is asking whether the product of the expected value of a non-negative random variable X…

Q: how do i find the (x) ?

A: The given data is,

Q: The distribution of random variable X can be described by the following probability mass function:…

A: The probability mass function for the X can be defined as:

Q: (b) Use the given probability information to set up a hypothetical 1,000 table with columns…

A: From the given information, P(D)=0.168, P(T)=0.394 and P(D∩T)=0.076.

Q: Assume that X is a random variable that has the following probability mass function. x 1 2 3 4 p(x)…

A: The random variable X with probability mass function is given below. x 1 2 3 4 P(x) 0.15 0.35…

Q: 1. Find the value of c. 2. Find the expectation E[X] of X. 3. Find the variance Var(X) of X. (c,…

A: The provided information is as follows:The  is a random variable with the probability density…

Q: 54°F Cloudy Let X be a random variable with the following probability distribution. Value x of X…

A: Step 1:XP(x)xP(x)x2P(x)-200.40-8160-100.15-1.51500.4000100.050.505  Step 2: The Expected…

Q: If random variable x is exponentially-distributed with mean a= 2, calculate p(X> 3)· Σ 2e-2x x=3 E…

A: From the provided information, Mean (λ) = 2 X~exp(2)

Q: Given the probability density function f(x)=15f(x)=15 over the interval [3,8][3,8], find the…

A: Given, f(x) = 1/5  where x ∈ 38 f(x) is a p.d.f of x follows uniform distribution  x ~ U[ 3 , 8 ]

Q: Given the probability density function f(x)=14f(x)=14 over the interval [3,7][3,7], find the…

A:

Q: A discrete random variable, X, has the following pdf as follows. X 0 1 2 3 4 P(X = x) 0.15 0.3 a 0.2…

A: Step 1: Given table, pdf tablex01234P(X = x)0.150.3a0.20.1 Step 2: a) The value of 'a' can be…

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: The pdf of a random variable X is given by: f(x)=e¹ for x > 0 Please find P(x > 1). 0.6321 0.9816…

A: Let X be the random variable having probability density function is,  f(x) = e-x for x >0 Then,…