The probability density function of a random variable is kx3 f(x) = if 0

Q: A continuous random variable X has probability distribution function f(x) , where f(x) = k(1 − x2)…

A: The k value is calculated as follows:

Q: Suppose X is a random variable taking values in the interval [0,2] with probability density function…

A:

Q: The lung cancer hazard rate λ(t) of a t-year-old male smoker is such that λ(t) = 0.027 +…

A: Given that the lung cancer hazard rate  of a t-year-old male smoker as

Q: Let X be a random variable with pdf f(x) = kx*,-1 <x< 1. Find E (X).

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Q: Figure 1 shows the piecewise function (I), (II), (III) and (IV) for cumulative distribution function…

A: We have to construct the probability density function f(x)

Q: Let fx (2) be the probability density function of the random variable X. 3 f(2) =10, 2 28 -1<z<3;…

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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: If X is a random variable with probability density function 32 f (x) = for x = 0, 1, 2, 3, 4 and 5,…

A: Formula : Variance :

Q: The shelf life (in hours) of a certain perishable pack-aged food is a random variable whose…

A:

Q: A random variable X takes values 0,1,2 where E(x) =1.5, var(x)=0.25 then E (3x-x²+4) =

A: Given that E(X) = 1.5, and var(X) = 0.25 The var(X) is defined as Var(X) = E(X2) - (E(X))2

Q: Determine f(2) so that the given function can serve as a probability distribution of the discrete…

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Q: Find the distribution function which corresponds to the probability distribution defined by f (x) =…

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Q: Let x be a continuous random variable with PDF 3 x > 1 x4 fx (x) otherwise Find the mean and…

A: Given PDF is fX(x) = 3x4,x ≥ 10,otherwise

Q: The random variable X has probability density function 1 < x < 2 f(x) = otherwise. Calculate Var(4X…

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Q: The random variable x follows a uniform probability distribution in the interval (0,1); the…

A: We know that  The pdf of Uniform distribution is  f(x) = { 1/(b-a) ,   a&lt;x&lt;b                0.…

Q: Let the random variable X be the time in seconds between incoming telephone calls at a busy…

A: Solution

Q: Let X be a random variable with pdf: f(x)= k(10 - 2x) for x being [0,5]  a.) Find k b.) Find E(X)…

A: GIVEN DATA : X is the random variable with probability density function fx=k10-2x in the interval of…

Q: Let X1, X2, and X3 be independent random variables from (-1, 1). Find the probability density…

A: Probability Density Function:                   Probability is deals with the random…

Q: The pH water samples from a specific lake is a random variable X with probability density function.…

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Q: Moment generating function is given: Mx(t)= 1/(4-t)^2 Find the mean and the vairance for the…

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Q: The probability density of the random variable Z isgiven by f(z) = kze−z2for z &gt; 00 for z F 0Find…

A: The required value is calculated as follows:

Q: The probability density function of the continuous random variable X defined in the set of…

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Q: Toss a coin once, S = (H,T) with P,(H) = p and P,(T) = q. Define X(-) by X(H) = π, X(T) = 0. Compute…

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Q: The time to wait between each phonecall a person recives is random given f(t) = 3e-3t for t>=0. Let…

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Q: probability density function of a random variable X is x2 for -1sxS1, and O for any other value of x…

A: Introduction : Given , a function f(x), we have asked to calculate the percentage probability P(…