Q2-If the density function of X is x = 1,2, ... fx (x) O.W S-2 if X is odd if X is even What is the probability density function of Z =

Q: Find the cumulative density function for the given probability density function. k(x) = 1.9 e -1.9X,…

A: Given: k(x)=1.9e-1.9x, for 0≤x≤∞ Cumulative density function will be Kx=∫0xk(t)dt

Q: The joint probability density function of X and Y is given by fxx(2, y) = }(x + y) for 0 1.5|X < 1)…

A: Given : The joint probability density function of X and Y is given by; fX,Yx,y=18x+y for…

Q: -2x f(x) 0, otherwise Let X be a random variable whose probability density function is given by what…

A:

Q: If X has probability density function f(x) = x/12 on [1,5], find P(1< x < 2).

A:

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&lt;x&lt;10; otherwise

Q: Suppose X1 and X2 are two independent random variables with the following density function - Cx if…

A: Given density function is, fx=-cx,  -5&lt;x&lt;0       ∫-50f(x)dx=1∫-50(-cx)dx=1-cx22-50=1-c0-252=1…

Q: 27. If the probability density function of X is s(z) = { a³ 0, otherwise. then E(X) is 3 A. 4 В. C.…

A: Given,f(x)=3x2a3           0≤x≤a

Q: 7. If the joint probability density function of X and Y is 1 if 0 < x < 1; 0 < y < 1 f(x, y)…

A:

Q: and Y have joint probability density function f(x,y)=6x,0<x<1,0<y<1-x 0,elsewhere. ermine whether…

A: *Answer:

Q: 4) Suppose X follows Exponential(2), and Y follows Exponential(4). X,Y are independent. (If Z…

A: The answer to the above question is as follows : X~exp(2)f(x)=2e-2x…

Q: The exponential probability density function is f(y, 2)= he- for y, 120 Show that the exponential…

A:

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

A: To find: The value of k that make the function fx a probability density function: Given: The…

Q: et it be the probability density function. [ f(x2= n-x 2(1-2). ax Let it be Y = e x=0,1,2, So E(Y)…

A: Solution

Q: 3. Consider the function f (x) = B - x/4 for 1 s x s 2 and f (x) = 0 otherwise. Determine the value…

A: Explanation of the answer is as follows

Q: Using the following joint probability density function ( 15e-20-3y, 0< x and x < Y f(x, y) = { 0,…

A:

Q: Consider the probability density function x, for 0 < x < 1 f(x) = {2 - x, for 1 < x <2 0, %3D…

A:

Q: If the probability density function of X is : f(x) = e-x (1+e*)2 en what is the probability density…

A: It is an important part of statistics. It is widely used.

Q: Q2-If the density function of X is 1 x = 1,2, ... fx(x) = 0.W -4 if X is odd if X is even" What is…

A: The density of function of x is, fx(x)=415x     x=1,2...0             O.W And Z=-4   if X is odd 4…

Q: Let X and Y has joint probability density function AX, Y) = 0<x<2, 0<y<2. 16 Find E( X Y ).

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

Q: Let X and Y has joint probability density function AX, Y) = *7 ,0<x<2, 0 <y<2. x y Find E( X + Y)

A: Given a joint probability density function of X and Y , we need to find E( X+Y)

Q: If the probability density function of the random variable X is: -X e X>0, f(x) = 0, Otherwise. Then…

A: Here we need to find the Mgf of the given density function. It is clear that the above density…

Q: Determine the value of c that makes the function f (x, y) = cxy for 0 < x < 4 and 0 < y < 4…

A: The joint pdf of X and Y is given by f(x, y) = cxy , 0 &lt; x &lt; 4 and 0 &lt; y &lt; 4

Q: Let Sc(x-3)5 0<x<3 S(x) = otherwise be probability density function of X a)Find the value of c…

A:

Q: Q6. Consider the probability density function fex) = {C A if x>1 Inx %3D X2 otherwise . Ca) Find C.…

A: Given function f(x)=clnxx2if x≥100therwise find c find Px≥3

Q: If the joint probability density function of X and Y is f(x, y) = e**), 0 < x, 0<y. Are X and Y…

A: Given the joint probability density function of X and Y is fx,y=e-x+y,    x≥0, y≥0

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: 3. Find the value of k so that f(x) for 1 < x < 2 is a probability density function. (x + 1)?

A:

Q: Q2-If the density function of X is fx(x) = x = 1,2, ... 0.W S-4 if X is odd What is the probability…

A: It is an important part of statistics. It is widely used.

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: 1. The diameter of a particle of contamination (in micrometers) is modeled with the probability…

A:

Q: 1. Suppose that for a certain life the probability density function is fx (x) = 1+x ,x >0 Find (i)…

A:

Q: 6. Given the joint probability density function f(x, y)=10xy, 0<x<y<l, find P(X+Y <1).

A:

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

A: Consider the function: fx=kx12, x∈1, 4   and, for all other values of x, fx=0.   Thus, fx=0,x∈-∞,…

Q: b) Suppose that X is a random variable with the probability density function given by (2(1-x),0 ≤ x…

A:

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 k for which the given function is a probability density function. f(x) = kekx on…

A: Given: Probability density function fx=kekx on 0, 7 The objective is to find the value of k.

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

A:

Q: Q8. If f(x,y) = (24xy, 0sxS1 ,0 <ys1 x +ys1 is a joint density function of X and Y. Find the…

A:

Q: Let X be a random variable with probability density function a+ bx², 0<x<1 f(x) = | 0, otherwise If…

A: We have given that, Let X be a random variable with probability density function…

Q: Suppose that the unknown X is ≥ 2  and has the probability density function fX(x)=Ce^−x,x ≥ 2.What…

A:

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

A: Given: ƒ(x) = kx3; [2, 4] A probability density function equals 1 for sum of all range of values.

Q: fxrlx,y) = 32 xy is a joint probability density function over the range 0< x<2 and 0<y<x Find P(1 3…

A: The joint probability density is,  Compute the required  probability,  P( 1.3&lt;x&lt;2, y&lt;3.93)…

Q: Is 0.5e -0.5x a probability density function on the interval [0, ∞)? If so, what kind of proba-

A: The Exponential distribution is one of the continuous probability distribution and has one parameter…

Q: The likelihood of a certain brand of tires wearing out is represented by the following function. Sa…

A: From the given information, f(x)=axe-kx, x≥0 Consider, the condition,…

Q: B) The probability density function for the random variable X is given by 0<x<3 f(x) ={(25 – x²), 0,…

A: Given function is,  f(x)=x2, 0&lt;x&lt;3(25-x2), 3≤x&lt;60, otherwise

Q: Q3 If the joint probability density function of X and Y is given by 0 < x < ∞, 0 < y< o∞ f(x, y) =…

A: Ans . Here for calculation of E [ X/Y=y ]  ,  we first calculate marginal distribution of  Y  then…

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: Suppose that a random variable Y has a probability density function given by Sky³e% ,y>0. f(y) = ,0.…

A: Gamma Distribution: A continuous random variable X is said to follow Gamma distribution with…