Let X be a random variable wih probability density function [0.2, (x) = {0.1, 0, for (x< 1 for 1<|x < 4 otherwise The probability P(Q.5 < X < 5) is

Q: Suppose that the random variable X has the probability density function ´c(1- x²) for - 1< x s1 f(x)…

A: Given that  Probability density functions of X is  f(x)= c(1-x2)   , -1&lt;=X&lt;=1       = 0…

Q: One of the important properties of the probability density function, f(x), of a random variable X is…

A: Probability density function, f(x) is given.

Q: Let X be a continuous random variable with a probability density function (x) = {(6 – 3e)x² + e* 0…

A: For x≤0F(x)=∫-∞xf(x)dx=∫-∞x0dx=0For…

Q: Let X be a random variable with probability density function, What is Var(X)? f(x) = cx(5-x) for…

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Q: If X is the continuous random variable whose probability density function,Finc P(X=2) for 0≤x≤4 f(x)…

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Q: Let the random variable Y denote the time (in minutes) for which a customer is waiting for the…

A:

Q: find the value of the constant c so that the given function is a probability density function for a…

A: Given,

Q: Let x be a random variable with a probability density function defined by the form f(x) = ke */2, x…

A: We have given that X be a random variable with a probability density function defined by the form…

Q: Let X be a random variable with density function: K(1-x) if 0sxsl f(x) = otherwise The value of k…

A: Solution: From the given information, the probability density function of X is

Q: Let X be a continuous random variable with the following probability density function: f(x) = {k(6x…

A: Solution

Q: 2. Determine the value of c that makes the function f (x,y)=c(x + y) a joint probability density…

A: To find the c we will use the fact that the integration of f(x,y) over entire range is always 1.

Q: Let X be a continuous random variable with a probability density function (6-3e)x2 + eš 0<x<1 f(x) =…

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Q: Let X be a continuous random variable with the following probability density function: f(x) ={ 8 %3D…

A: Given:

Q: Let X be a random variable with density function -1< x < 2, elsewhere. 2/3, f(x) = 0,

A:

Q: Let X be a continuous random variable with a density function: 5|x| k -15x<1 f(x) = 3 0, otherwise…

A: Given: fx=k5x3,        -1≤x≤1       =0,                   otherwise Given function is a density…

Q: Suppose that the random variable X has the probability density function c(1- x2) for -1 s x s 1 f(x)…

A: We want to find the probability  P(0&lt;X&lt;1/5)= ?

Q: Let X and Y be continuous random variable with the following joint probability density function 1…

A: Joint Probability Distribution: Let X and Y be two continuous random variables defined over the…

Q: Determine E(X), E(X2) and V(X) if X be a continuous random variable with probability density…

A: The pdf of X is fx=3x2,0≤x≤1 EX=∫01x*fxdx=∫01x*3x2dx=3∫01x3dx=3 x4401=3144-0=34=0.75

Q: Let X be a continuous random variable with a density function: 3|x| k f(x) = - 25xS2 0, otherwise…

A: f(x) = k 3x2   , -2⩽x⩽2  0          ,   otherwisef(x) = k X -3x2   , -2⩽x⩽2  k X 3x2          ,…

Q: Let the joint probability density function of the continuous random variables X and Y be f(x,y) = }5…

A: The probability density function is fx, y=65x2+2xy,    if 0≤x≤1, 0≤y≤10,…

Q: Let the continuous random variable X denote the current measured in a thin copper wire in…

A: Here X denotes current measured in copper wire in milliamperes. X ranges from 0 to 1/0.14. and  f(x)…

Q: Suppose that the probability density function of X is 0 2/3)

A: The given probability density function of X is fx=3x2,0&lt;x&lt;10, otherwise

Q: The probability density function of X random variable is given as, f(x)=c(x2 +1), -2<x<2 and f(x)=0,…

A: Given,f(x)=c(x2+1)  ;  -2≤x≤2

Q: Let the continuous random variable X denote the current measured in a thin copper wire in…

A: From the given information, f(X)=0.12, 0≤X≤10.12 Formula for Variance: V(X)=EX2-E(X)2 Consider,…

Q: Let  X  be a continuous random variable with range  [0,1]  and its probability density function is…

A:

Q: Let X be a random variable with probability density function 3 -x², -1 < x < 1 2 Which of the…

A:

Q: Suppose that the random variable X has the probability density function for -1< x < 1 f(x) =| c(1-…

A: probability density function of random variable X;f(x)=c1-x2for -1≤x≤10elsewhere∵f(x) is p.d.f. then…

Q: Let X1, X2, ... , Xn represent a random sample from a population with a gamma(2, B) distribution,…

A:

Q: - Let x be a random variable with probability density function, f(x) = C (1- x2), -1 < x < 1 and 'O'…

A:

Q: Let X be a continuous random variable with density function: (3x + 1) 0 < x< 1 f(x) = otherwise Then…

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Q: Find the value of k that makes the given function a probability density function on the specified…

A: The given function is, fx=kx on the interval 1, 3. The objective is to find the value of k that…

Q: Let x be a continuous random variable that can take any value in the interval [0,3]. Let its…

A: Solution:

Q: Suppose that the random variable X has the probability density function for -1 s x s 1 c(1– x²) f(x)…

A:

Q: The probability density function for a continuous random variable X has the form, Find the value of…

A:

Q: The probability density function of random variable X is given by: f(x) = }K ſke*-1, -1 < x< 1; %3D…

A: To find the value of k, we will use the fact that integration of pdf f(x) over whole range of x is…

Q: Suppose that X is a continuous random variable with density function f(x). If f(x)=k for −5≤x≤3 and…

A:

Q: Suppose that the probability density function of X is 3x 0<x<1 elsewhere Determine the P (X<1/3), P…

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

Q: Find the value of k that makes the given function a probability density function on the specified…

A: The given function is: f(x) = kx2 In the interval is  0 ≤ x ≤ 2 or x∈0, 2

Q: The probability density function of a continuous random variable X is given by F(2) = {*(=* = k(x² –…

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Q: Let X be a continuous random variable with probability density function -1 1/4) is

A: If X2 ≥ 1/4 then X≥ 1/2 or X≤ -1/2.   Given that -1≤X≤1. So the required interval is: -1≤X≤ -1/2 and…

Q: Let X be a continuous random variable with a density function: 3|x| k 2 - 2<x<2 f (x) = 0, otherwise…

A: A continuous random variable has infinite values and the number of values are not countable. The…

Q: Let X be an exponential random variable with parameter A = 10, and let Y be the random variable…

A: From the given information, Consider, X be the random variable that follows exponential distribution…

Q: Find the value of the constant c so that the function below is a probability density function for a…

A:

Q: Let X be a continuous random variable with a probability density function ((6-3e)x² + ex 0 0<x< 1…

A:

Q: Let X be a random variable with probability density function L{(1 }(1– æ), -1 < x < 0 f(x) = 0,…

A: Given : f(x) = 23(1-x) , -1≤x&lt;0

Q: Let X be a random variable with probability density function f(x) = x/8, where x = 1, 2 and 5; 0,…

A:

Q: Find the value of c so that ƒ(x) = csqrt(x)(1 - x) is a probability density function for the random…

A: Write the given expression and simplify it using the definition of probability density function.

Q: Let X be a random variable with probability density function, What is EX? f(x) = x(5-x) for 0≤x≤5 0…

A:

Q: 1. Consider a random variable X with probability density function given as: 0 if x < 0, 1 if 0 ≤ x ≤…

A: