A discrete random variable has a probability mass function p(x) given in the table below: -2 -1.5 1.3 |4 p(x) | 0.1 | 0.2 0.1 a Find the value of a. a =

Q: Value x de X P (X = x) -4 0.14 -3 1 0.23 4 0.17 3.

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Q: A random variable X has the following probability mass function defined in tabular form as shown…

A: x-112P(X=x)2c3c4c

Q: The probability distribution function of the discrete random variable X is x -1 0 2 5 P(X=x) 0.10…

A: Given :   X -1 0 2 5 P (x) 0.10 0.50 0.30 0.10

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: x 0  1 2 3 P( X= x ) 0 k 2k 3k Show that k= 1/6. Find the mean of the probability distribution and…

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Q: The cumulative distribution function for a random variable X is given by: (1-e for x20 F(x)={…

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Q: The cost of all maintenance for a car during its first year is approximately exponentially…

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Q: Find c such that the function f(x) = ce - (2x + 3) is a valid probability distribution over the…

A: Find c such that the function f(x) =ce-(2x+3) is a valid probability distribution over the range…

Q: The distribution function for a random variable X is F (x) = {6 z 2 0 , z<0 which of the following…

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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: Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random…

A: Given Fill in the P (X=x) values to give a legitimate probability distribution for the discrete…

Q: A discrete r.v X has the p.m.f as below -1 1 2 P 0.1 0.3 0.4 0.2 O Find the p.m.f of the r.v Y =…

A: Given the discrete r.v. X with pmf:- X -1 0 1 2 P 0.1 0.3 0.4 0.2 We need to find the pmf…

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: 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: The probability of an event depends on the random variable X and can be expressed by the following…

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

A: Here given discrete probability distribution of X.Use formula of expected value and Variance

Q: Chance variable X parameters: It is assumed to show a lognormal distribution with u = 0 and o = 2.…

A: Given:  X has lognormal distribution. μ=0σ=2 The probability P (10 &lt;x &lt;50) is obtained as…

Q: The probability distribution function of a random variable X is P(X =x)= k for x 0,1,2,3,4 where k…

A: (a) We know that  ∑X=04P[X=x] = 1, hence    k=116  answer P(0&lt;X&lt;4) = P[X=1] + P[X=2] + P[X=3]…

Q: In a recent survey, 10,000 households were randomly selected. One of the questions on the survey…

A: The provided information is as follows:The total number of households  is 10000. is the number of…

Q: A random variable X has the probability density function given below (2x, 0<x<1 g(x)={6+4x 1sx<3 0,…

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Q: Let X be a random variable with the following probability distribution. Value X of X 40 50 60 70…

A: Value x of XP(X=x) 400.25500.60600.10700.05

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: he table below shows a probability density function for a discrete random variable X, the number of…

A: Ans#- The table below shows a probability density function x P(x) 0 3/20 1 1/20 2 1/4 3…

Q: The table below is the joint probability distribution of X and Y. y fxy(x.y) -1 -2 1/8 -0.5 -1 1/4…

A: The joint probability distribution table can also be represented as:   The marginal distribution of…

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

A: Given that : X is a discrete random variable P{X = x} is given  for correspondence of x.  Fistly we…

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

A: Given: Let X be a random variable. The probability distribution of the random variable X is provided…

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: The number of weekdays, X, and weekend days, Y, that a randomly selected employee at a restaurant…

A: Discrete joint pmf of x,y  has given

Q: A convenience store has two separate locations where customers can be checked out as they leave.…

A: For marginal distribution of X is P(X=x)=∑yp(X=x,Y=y) And the marginal density of Y…

Q: Let X represent the time it takes from when someone enters the line for a roller coaster until they…

A: In this case, (x–3)/1.18= (x–a)/(b-a)=F(x).Therefore, the cumulative distribution function…

Q: Use the probability distribution below to answer the question x 0 1 2 3 4 P (X = x) 0.4 k…

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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,…

Q: The cumulative distribution function for a random variable X is given by: (1-e for x>0 F(x)=• |0…

A: We have to find given probability.

Q: a) What is E(X)? Give your answer to three decimal places.  b) What is the value c such that P(X <…

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Q: The random variable X has the distribution shown in the table to the right. P(X = x) (a) Find P(X =…

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Q: The joint probability distribution for X and Y are shown in the table. Find F(2,1). All of your…

A: Given data is       X       0 1 2   0 0.15 0.07 0.11 Y 1 0.12 0.18 0.22   2 0.03 0.07…

Q: The probability density function of the discrete X random variable is given as follows: 1 4 f(xi)…

A: Given: The probability density function of the discrete  X random variable is given as follow, X…

Q: A probability function for a discrete random variable, Y, is shown below.     y P(Y=y) 4 0.4…

A: Y 4 6 8 10 P(Y=y) 0.4 0.2 0.2 0.2

Q: 0, 0.25x +0.5, 0.5x +0.25, 1 Find P(X < 1.3). F(x)= x<-2 -2<x< 1 1<x<1.5 x 1.5

A: Answer: - Given, the cumulative distribution function of a continuous random variable X  is…