A continuous random Variable X has probability Density function defined by f(x) = 5-5x; 0<=x<=1, =0 otherwise, find the mean and the variance of the distribution.

Q: Consider a tandom variable X with the following probability density function f(x) = a,x > 2 which is…

A:

Q: The probability density function of the continuous random variable fX(x)={k/2  0≤x<8   ,   k  8≤x≤16…

A: Given information: The k value is obtained below:

Q: A continuous random variable has the probability density function of f(x)=0.0118x and the interval…

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Q: Let X be a random variable from an exponential distribution with parameter 1/2. Calculate the…

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Q: Let the random variable X follow a gamma distribution with α = 4 and β = 4. If Y = X2 what is the…

A: Given, X~ Gammaα=4,β=4 Y=X2

Q: Suppose lifetime of a particular type of old mobile, X, can be modelled by the probability density…

A: The probability density function of X is obtained below: f(x)=0.5e-0.5x;x≥0 where x is a random…

Q: A random variable X has the probability density function as                   f(x) =    Ax(9-X2)…

A: To find the constant A, we can use 1=∫-∞∞ fx(X)dx Hence, 1=∫-∞∞ fx(x)dx   =∫03Ax(9-x2)dx   =∫039…

Q: After years of testing, Duracell has developed the probability density function p(x) = 0.08e 008x…

A:

Q: For the continuous random variable with probability density function: sin(x), 0≤x≤ f(x) =< 2 0,…

A: For finding median through probability density function we use: ∫0Mf(x).dx = 12 M: Median value

Q: An electronic product with n identical parts connected in parallel cannot function properly only if…

A:

Q: The cumulative distribution function of a random variable X is defined by the equation if x 1…

A: The cumulative distribution function of a random variable X is defined by the equation Fx=0…

Q: Let fx (2) be the probability density function of the random variable X. 2 * 0<I<7; f(z) = 49…

A: Obtain the value of V(X). The value of V(X) is obtained below as follows: From the information,…

Q: Sizes of insurance claims can be modeled by continuous random variable X with probability density…

A: Let us consider X be a continuous random variable which is use to denote the Sizes of insurance…

Q: A continuous random variable X has the probability density function  f(x) = (4-x)/8, 0 ≤ x ≤ 4. Find…

A: The probability density function for a continuous random variable X is, fx=4-x8,     0≤x≤4

Q: Consider a random variable X with probability density function given by 0.2 for 1 < x < 2 for 2 < x…

A:

Q: Consider a random variable X with probability density function given by 0.2 for 1 < x< 2 for 2 < x <…

A:

Q: y > 0, A random variable Y has density f(y) = ey TY else. Identify this distribution by name and the…

A: Given: fy=1eyπy,     y&gt;00,                  otherwise

Q: Let (X, Y) be bivariate random variables having joint probability density function as f(x) = {;x +y)…

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Q: ) Find the mean and standard deviation of the random variable whose probability density function is…

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Q: probability density function of f(x)= (1/x ln(1.5)),  4<=x<=6 and f(x) = 0 elsewhere. What is the…

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Q: If a dealer’s profit, in units of $5000, on a new automobile can be looked upon as a random variable…

A: The E(X) is calculated as follows: E(X)=2∫01x(1-x)dx=2∫01(x-x2)dx=2(x22-x33)01 =2(12-13)=13

Q: The moment generating function of the random variable X having the probability density function f(x)…

A: Given probability density function is, fx=e-1-x;-1&lt;x0;       otherwise Nee to find the moment…

Q: The cumulative distribution function of a random variable X is defined by the equation if x 1…

A: Solution: From the given information, the cumulative distribution of X is

Q: A continuous random variable has the probability density function f(x) = 1/8 for 0 ≤ x ≤ 8. What is…

A: Expected value of a continuous random variable:Continuous random variable:If the variable X takes…

Q: A random variable Y has probability density function given by fly)= 2y for 0 1)

A: We have to calculate the P(Y &gt; 1) for the given probability density function of Y.

Q: Find the probability density function for the random variable X cumulative distribution function is…

A: Given :  Fx(x)=0 , x≤0x , 0&lt;x&lt;11 , x≥1   Let P(x) be the probability density function of X the…

Q: The random variable x has probability density function given by: { kr', 0sxs1 0, otherwise f(x) =…

A: The random variable x has probability density function given by,   f(x) = kx3,0≤x≤10 ,Otherwise…

Q: A continuous random variable X has probability density function fx (x) given by fx(x) = k (2 – x)(x…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(k mean and…

Q: The continuous random variable X has probability density function fx(x) where fx(x) = otherwise a.…

A: Exponential distribution

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: Consider a continuous random variable X with probability density function given by f(x) = { 0" Į kx…

A: Given probability density function,f(x) =k(x)   for 1≤x≤50         otherwise

Q: The(probability density function of a random variable, x is (x) = -(4 – x²) for 0< x < 2 4 = 0 %3D…

A: Introduction :

Q: Find the probability density functions of non negative continuous random variables with failure rate…

A: Let X be a non negative continuous random variable.

Q: A continuous random variable has a probability density function of f(x) = 2x² for 0 < x≤ 2 and is…

A: Given that  A continuous random variable has a probability density function of f_{x}(x) = 2x2 for 0…

Q: the probability density function for a uniform distribution on the interval [1, 5] equals:

A: Let X follows Uniform(a = 1, b = 5)

Q: A continuous random variable X has probability density function fx(x) given by fx(x) = k (2-x)(x -…

A:

Q: The probability density function of a random variable X is given by 0<x<1 f(x) = {2–x 18x<2…

A:

Q: A random variable X has probability density function for 0 < x < 2, 4 f(x) = { +(2x –- 3) for 2 < x…

A: Given:

Q: Suppose that a positive continuous random variable X has probability density function given by…

A: Given : f(x) = c(14 - 5x2)

Q: The probability density function of a continuous random variable is given by 1 1 4 --X f (x): 4 for…

A: The probability distribution is given by: f(x) =(1/4)e(-x/4)    for x&gt;0

Q: Let X be a uniformly distributed random variable with probability density function: fx(x) = {6 Find…

A: First we want to find the value a then after find the distribution of X^2

Q: A random variable X has probability density function given by for 1 < x < 3 f(x) = otherwise.…

A: Given probability density function ,fx=14x for 1≤x≤30  otherwise

Q: Suppose lifetime of a particular type of old mobile, X, can be modelled by the probability density…

A: Given, f(x) = 0.5e-0.5x : x≥0 where x is a random variable follows exponential distribution with…

Q: [2] X is an exponential random variable with variance 9. If (X, Y = (2, otherwise, 1<x<4 find the…

A: Introduction to exponential distribution: A random variable X is said to have a exponential…

Q: Y is a continuous random variable with the probability density function pictured. what is the mean…

A: y f(y) y f(y) 1 0.1 0.1 2 0.1 0.2 3 0.1 0.3 4 0.3 1.2 5 0.3 1.5 6 0.3 1.8 Total   5.1

Q: The probability density function for a continuous random variable X is given by               f(x) =…

A: In this question we have the pdf and using which we have to find the 70th percentile.

Q: The expected values of the independent random variables x and y (E(x) and E(y)) for a joint density…

A: Given: E(x)=5 E(y)=6   x and y are independent random variable

Q: Identify the probability density function. f(x) = 1/6,   [0,6]   Find the mean, variance, and…

A: f(x)=16 is a a continuous uniform distribution with a=0 and b=6So the mean= 12(a+b)= 12(0+6)=3