Find the value of c so that the function f(x) below is a valid probability density function. S x² + x) if 0 sxs1, otherwise.

Q: Find the value of c to make the following function is a probability density function if E(X) = 1 X…

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Q: Find the value of c to make the following function is a probability density function if E(X) = 1 X…

A: Given:   X P(X) 0 d 1 c 2 2d 3 2d total 1

Q: Find the conditional expectation E(Y/X=0.47) if the joint probability density function of the random…

A: We want to find conditional expectation.

Q: Verify that p(x) = 3x - 4 is a probability density function on [1, oo)and calculate its mean value.

A: Probability density function:(1) p(x)≥0       (2) ∫-∞∞p(x) dx=1(1)…

Q: Suppose that X is a continuous random variable whose probability density function is given by S C(1…

A: Given,f(x)=c(1-x2); -1<x<10; otherwise

Q: Q3 a) f the probability density function (cVx,0< x < 1 f(X)= 0, else where Find the value of c?

A: Given, the probability density function of X- fx=cx, 0&lt;x&lt;10 , elsewhere It is known from the…

Q: Given the probability density function as below: Shx2 (-1sxs 1) = {* f(x) otherwise Calculate h.

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Q: Given the function, x²0<x<l f(x)%3D{1 1 1<x< 3 otherwise 0. (a) Show that fis a probability density…

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Q: B. Consider the probability density function f (x) = kxe³* 13x<2 = 0 otherwise Find the following:…

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Q: a) Suppose that, for-1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by f (x₁, x₂)…

A: Solution

Q: Determine the value of c for which the function below will be a probability density functi So(8x' -…

A: Here given thatf(x)=c8x3-x4   ; 0≤x≤80                    ; other

Q: Show that f(x)f(x) is a probability density function, Find E(X)E(X) and Var(X)Var(X).

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Q: (a) Explain why P(X ≤x) #1, for every x. (b) Find a and b. (c) Find the probability density function…

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Q: a) Suppose that, for-1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by f(x₁,x₂) =…

A: Solution

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: A lamp has a lightbulb with an average lifetime of 4 hours. The probability density function for the…

A: Probability density function is

Q: The probability density function of the random variable X is given by: Sce-2x 0 f(x)= = for x > 0…

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Q: What should be the value of k for f(x) to be able to be a probability density function? f(x)=(2kx)/6…

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Q: Given the probability density function as below (hx² f(x) =} (-15xs 1) otherwise

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Q: Show that the function defined as follows is a probability density function on the given interval;…

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Q: Show that the function defined as follows is a probability density function on the given interval;…

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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: Let f(x)=k(4x -x²) if 03. (a) For what value of k is f(x) a probability density function? (b) For…

A: Given that  Probability density functions of X  f(x)=k(4x-x2)  , 0&lt;x&lt;3 f(x)=0     , x&lt;0 ,…

Q: a) Suppose that, for-1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by f(x₁, x₂) =…

A: Solution

Q: (4x³ : - Suppose X has probability density function Jx(x)={ 0<x<1. : otherwise

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Q: Find the value of c so that f (x)=c/T (1 – x) is a probability density function for the random…

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Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: The probability density function on the indicated interval is given by : fx=kx32 ; 4, 9 As we know…

Q: A. Consider the probability density function f (x) = kx²e* 0 sxs2 %3D otherwise %3D Find the…

A: ∫02k x2exdx =1kx2ex-2xex+2ex02=1k(2 e2-2)=1k=12(e2-1)=112.77 k=112.77811

Q: Find the value of c to make the following function is a probability density function if E(X) = 2 X…

A: From the properties of probability, the sum of all probabilities is always equal to 1.…

Q: Consider the probability density function f ( x ) = kxe^3x        1≤x≤2 = 0…

A: Given information: It was stated that the pdf of x is given as, f(x)=k x e3x ; 1≤x≤20          ; O.w…

Q: (c(2x – x³) 0 <x < Consider the function f(x) = otherwise Could f be a probability density function?…

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Q: a) Suppose that, for -1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by f(x₁, x₂)…

A: Solution

Q: Given the function 0 0

A: The function is said to be valid probability density if the integration of f(x) over whole range is…

Q: The probability density function of Y = 5X + 3 is:

A: To obtain the probability density function of Y=5X+3, we will use the transformation method.

Q: The probability density function of X is f(x) = for 0 <= x < 10, then 10 10 P(X +2 7) is:

A: Since , the probability density function of X is given by , Our aim is to find the ​​​​​​​

Q: [Q1] If the probability density function is f (x) as follows, find: (a) k that makes f (x) a valid…

A: Given: Probability density function: fx=kx41-x,        0&lt;x&lt;10                     otherwise…

Q: A2. Suppose that the continuous random variable x has the probability density function 1 f(x) -…

A:

Q: The temperature X at which a thermostatically controlled switch turns on has probability density…

A: The provided probability density function is  f(x)=12    59≤x≤600       otherwiseThe mean is…

Q: [Q1] If the probability density function is f(x) as follows, find: (a) k that makes f(x) a valid…

A:

Q: Consider the function [c(2x – x³), 0<z< fx(x) = |0, otherwise. Could fx(x) be a probability density…

A: From the given information, Consider, the pdf as follows: fXx=C2x-x3,  0&lt;x&lt;52…

Q: For what value of c is the function {3 [c/x5 if x 2 1 f(x) otherwise a probability density function?

A: Obtain the value of C. The value of C is obtained as follows; Probability Density function:

Q: Find the value of c to make the following function is a probability density function if E(X) = 2 X…

A: Given that, Probability density function E(X)=2

Q: For what value of c is the function if x > 1 f(x): (x) = {C/x9 otherwise a probability density…

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Q: Let X and Y have the joint probability density function given by (1. Osxs2, 0sysl, 2y Sx 10. Ow.…

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Q: Letx and be a random variables with probability density function f(xy) = k 0Sxsys1 1- Find the…

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Q: (b) The conditional probability density function of Y, given that X=x for some x>0, takes the…

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Q: Decide whether the function f(x) =7x -5 is a probability density function on [- 1, 1]. If not, tell…

A: Topic:-  probability

Q: Consider the probability density function f(x) = 1.5x² for-1 ≤x≤ 1. What is P(x > 0)? a. 0 b. 0.125…

A: It is given that  The probability density function of continuous random variable X is  f(x) = 1.5x2,…

Q: Find the value of c to make the following function is a probability density function if E(X) = 1 хо1…

A: We have given that the probability density function of X and E(x) = 1.

Q: Let f(x) = kx2(5 – x) if 0 5. (a) For what value of k is fa probability density function? k = (b)…

A: Solution is given below: