• A discrete random variable X has the following probability distribution. 1 2 3 P(X=x) 1/30 3/10 1/2 1/6 Construct the cumulative distribution of X.

Q: A discrete random variable X has a Geometric distribution with E(X) = 1.5. Calculate P(X > 5). %3D

A: It is given that the mean is 1.5.

Q: For a random variable with the given probability distribution function. 3 5. f(x) 0.23 0.15 0.25…

A: Given data,   P(X≥2)=?

Q: A random variable X has the following probability distribution: X 2 4 6 P(X) 0.12 0.10 2k 0.28 Find…

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Q: c) Let X be the random variable with the cumulative probability distribution: F(x) = {₁-8-²x | x < 0…

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Q: The discrete random variable X has the probability distribution 2 4 P(X=x) k 2k 3k 4k 3.

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Q: A random Variable X has the following cumulative distribution function: x ≤ 1 1 a 0, Fx(x)=3-3x,…

A: Given,FX(x)=0; x≤13-3x; 1&lt;x≤a1; x&gt;a

Q: (3) A uniform random variable represents the choice of a random number in [a, b]. Its probability…

A: The notation for the uniform distribution is X ~ U(a, b) where a = the lowest value of x and b = the…

Q: A discrete random variable, X, has probability distribution as given in the table below. 3 k 12 p(X…

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Q: 10. A discrete random variable X follows Poisson distribution with mean λ. If P(0)=P(1), find λ. A.…

A: Given,A random variable X~Poisson(λ)P(X=x)=e-λ λxx!   ;  x≥0

Q: The discrete random variable X has the following probability distribution: 2 0.2 |4 |10 P(x) 0.3…

A: Solution: From the given information, probability distribution for the discrete random variable X is

Q: Q1 (a) Given probability distribution function for discrete random variable X as below: 2 4 0.25 6…

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Q: 1. Let X be a random variable with the following probability distribution. 1 2 3 4 P(X=x) 0.4 0.3…

A: Given Information: X 1 2 3 4 P(X) 0.4 0.3 0.2 0.1 Mean or Expected value is obtained using…

Q: 1. The random variable is: A. X= number of accidental drowning people in one year. B. X= number of…

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

Q: The random variable X has a binomial distribution with n = 6 and p = 0.3. Calculate: P (X 2 5)

A: Givenn=6p=0.3x~Binomial(n=6,p=0.3)P(X=x)=(nx)×px×(1-p)n-x ;  x=0,1....,n

Q: 3. The probability distribution of random variable X is given below: 1 2 Р() 0.9 0.1 A second random…

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Q: et X be a discrete random variable with P(X = -2) = .1, P(X = 1) = .15, P(X = 2) = .4, P(X = 4) =…

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Q: 5. Suppose X; is a binary random variable, X; E {0,1}, with mean p and Y =E X;. (a) What is the mean…

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Q: .4. Let X be a discrete random variable with the probability distribution given in the table below:…

A: 4)   Let X denotes discrete random variable.

Q: The discrete random variable X has the following probability distribution function. 1 3 4 P(X = x)…

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Q: The random variable X has the following probability distribution x 0 1 2 P(x) 0.2 0.6 0.2…

A: The random variable X has the following probability distribution is, x 0 1 2 P(x)…

Q: a. A random variable X has the following probability distribution: 0 x 18 5 x 18 10 x 18 15 x 18 20…

A: Given, X 0 90 180 270 360 450 P(X=x) 0.1 2m 0.2 0.1 0.04 0.07 Here,…

Q: A discrete random variable X has probability distribution given by 1 4 P(X=x) 0.20 0.25 0.40 a 0.05…

A: Note: Please repost remaining subparts as i can answer only 3 sub-parts as per my policy. Given,

Q: 8 A discrete random variable X has the following probability distribution. 2 3 4 P(X = x) 3c 4c Sc…

A: i) The total probability is always 1.  So, 3c+4c+5c+6c=1  or, 18c=1or, c=118

Q: c) Let X be the random variable with the cumulative probability distribution: F(x) = {₁²e-²x x<0 x…

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Q: If a discrete random variable has the probability mass function, ?(?)={ 1/6    ?=1            1/3…

A: The cumulative distribution function is:F(x)=0, x&lt;116, 1≤x&lt;416+13=12, 4≤x&lt;612+13=56,…

Q: The random variable Y has a Poisson distribution and is such ?that p(0) =2p(1). What is p(2)…

A: Obtain the probability that the random variable Y equals 2. The probability that the random variable…

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

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Q: A discrete random variable x has the the following probability distribution      X 1 2 3 4 5…

A: Introduction: For a discrete random variable X, the probability mass function (pmf), p (x) = P (X =…

Q: a. A random variable X has the following probability distribution: 0 x 18 5x 18 10 x 18 15 x 18 20 x…

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Q: 2 The cumulative distribution of a discrete random variable is given by - 2 -1 1 1 1 -+a 6. 17 -5a…

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Q: The random variable X has the following probability distribution: X 1 3 P(x) 0.05 0.25 0.35 k The…

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Q: A random variable X has the following probability distribution : 4 5 0-1 0:2 0.4 02

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Q: Let X and Y be two discrete random variables with a joint probability distribution given by X-0 X-2…

A: Given Distribution,   X = 0 X = 2 X = 4 Y = 1 0.03 0.02 0.1 Y = 3 0.15 0.2 0.1 Y = 5 0.2…

Q: 5- X is a random variable with the following probability distribution: -5 4 7 f(x) 0,17 0,50 0,33…

A: Given data:

Q: 2. A random variable X has the probability distribution as in below. What is the probability that…

A: Given: A probability distribution table: X 2 4 6 8 P(X) 0.1 0.2 0.3 0.4 It is known that in…

Q: 3) A discrete random variable X has the following probability distribution: 1 2 4 6. 7 P(X) K 2K 2K…

A: We want to find k, mean and variance.

Q: 1. A random variable x has the following probability distribution. Find the following: a. Missing…

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Q: A random variable X has the following probability distribution: X 1 2 4 5 6 P(X) 0.09 k 0.08 | 0.11…

A: By using the given information, we have The probability distribution table is, X 1 2 3 4 5 6…

Q: The joint probability distribution of two discrete random variables X and Y is partly given in the…

A: The joint probability distribution of two discrete random variables X and Y is partly given in the…

Q: 1. The probability distribution of the discrete random variable X is S(x) = [ (1/4)(3/4)*" , x =…

A: If a random variable takes only specific values, then it can be termed as discrete random variable,…

Q: Random varible x has the following empirical probability distribution X          0          1…

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Q: What is the mean of this discrete random variable? 2 3 4. 0.05 0.35 0.20 0.35 0.05 P(x)

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Q: A random variable X has the following distribution function: x <0 0.1x 0<r<3

A: Given information, FXx=0   x&lt;00.1x    0≤x&lt;30.4x-0.6     3≤x&lt;41                x≥4

Q: The random variable x represents the number of phone calls an author receives in a day, and it has a…

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Q: 1. A random variable x has the following probability function : X -2 0.1 -1 1 2 3 P(x) K 0.2 2k 0.3…

A: 1. The value of k is obtained as follows:…

Q: A random variable X has the following probability distribution: 4 6. Р(X) | 0.12 0.10 | 2k 0.28 Find…

A: According to the given information, we have The given probability distribution table is, X 0 2 4…

Q: Let X and Y be two discrete random variables with a joint probability distribution given by X-2 X-4…

A: Given data: Let X and Y be two discrete random variables with a joint probability distribution. To…

Q: X is a discrete random variable with the probability distribution function: k Pr[X = k] 6 -3 10 2 -2…

A: mean=E(X)=∑1nxP(X=x)