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: Find the expected value of each probability mass function.

A: Given: x P(x) 0 0.05 1 0.13 2 0.31 3 0.3 4 0.07

Q: A discrete random variable X has the range Rx = {-1,1.1, 2.2, 3.4}. The probability mass function…

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

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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

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

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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: A random variable X has a probability distribution given below. x 0 |f(x) | 0.1 | 0.3 | 0.4 0.1 ?…

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Q: Suppose x is a continuous random variable with density function given by: +kx 0sxs1 S(x)= { 3…

A: We want to find the probability.  Note: According to Bartleby Expert guideline, we can answer only…

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: Let X be a random variable with p.d.f f(x) = c+ 1.2x2,0<x< 1. Find a constant c if E(X) = ! 0.6 0.4…

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Q: e e-lklx² -15x<1 fx(x) = }4e – 10 otherwise

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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: transistors * 0 1 2 P(X) 0.92 0.03 0.03 0.02 Calculate 1) the mean 2) The variance

A: We are given; x P(x) 0 0.92 1 0.03 2 0.03 3 0.02 1).The formula for mean, i.e, E(x) is…

Q: Random variables L and B have the following joint PDF: b = 4 PL.B (1, b) l = 5 l = 2 l = 7 b = 2 0.1…

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Q: The cumulative distribution function for a discrete random variable X is as follows. 1 2 3 4 5…

A: We have given that the cumulative distribution of discrete random variable X.

Q: Determine the value of k such that this will be a probability mass function for x = 17, 19, 21, 23:…

A: To determine the value of k such that f(x) is a probability mass function (PMF), we need to ensure…

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: 2. 2 For the random variable Y with pdf f-V)-+v.os y s1,0 else, (a) Find the expectation E(Y) and…

A: The probability density function (PDF) for a random variable gives the probability at each possible…

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: Estimate the probability distribution given the empirical equation for Normal Distribution below…

A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below…

Q: A discrete random variable has a probability mass function p(x) given in the table below: -2 -1.5…

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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: 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: The positive random variable X is said to be a log-normal random variable with parameters μ and σ2…

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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: The random variable x has a probability mass function given in the following table -5 -4 1 2 P(x)…

A: Given data is  x -5 -4 1 2 P(x) 1/4 1/8 1/2 1/8

Q: Consider the probability distribution in the given table. Calculate E(X). 2 3. f(x) 1/8 3/8 3/8 1/8

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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: A random variable X has the probability density function (pdf) shown in he figure below. fx (2)

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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

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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 &gt;0 Then,…