Suppose that the random variable X has the probability density function ( c(1- x²) f(x) = for -1 < x < 1 elsewhere Find the value of the constant c.

Q: 10) Let f(x) by the probability density function of some continuous random variable. Explain why it…

A: If f(x) denotes the probability density function of some continuous random variable where x goes to…

Q: Q2) The shelf life, in days, for bottles of a certain prescribed medicine is a random variable…

A: Correct answer is  0.1840134

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

A:

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

A:

Q: f(x) = S ax', 2 3メ) 0く×C1 elsewhere CS Determined vREM Ćáhachht- Ex < 2/3) and P(xz 2/3).

A:

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 the probability density of X is given by f(x) =2x−3 for x &gt; 10 elsewherecheck whether its mean…

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

Q: Suppose that two continuous random variables X and Y have joint probability density function fxy =…

A: From the given information, Consider, Consider, EX=∫12xfxdx…

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

A:

Q: let x denotes the percentage of time out of 40 hour workweek that a call center agent is serving a…

A:

Q: Consider the three functions I. f(x)= {1-x if 0 < x < 2 {0 otherwise II. f(x)= {1+x if 0 < x < 2 {0…

A: f(x) can be probability distribution function if integration|xf(x)dx = 1 It means the total…

Q: Let X be a continuous random variable with probability density function f(x) = 2(1-x),  0<=x <= 1.…

A: Given: f(x) = 2(1-x),   0≤x≤1 Y = 2X-1 To find: pdf of Y = ?

Q: f (x) Suppose a continuous random variable X has the probability density K (1-x²) for 0 < x < 1, and…

A: It is give that  a continuous random  variable X has the probability  density function f(×) =…

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: 7) For the continuous probability distribution f(x) = kx³e-* Where x 20, find mean.

A:

Q: What is the variance of X

A: here given continuous probability density function  c(1- x2)           -1 ≤x ≤ 10…

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

A:

Q: For the continuous probability functionf(x) = Kx when x20 find

A:

Q: 2. Let X be a continuous random variable with probability density function (pdf) [3x² 0<x<1…

A: f(x)=3x2.       0&lt;x&lt;1 0.               OtherwiseWe have to find the probability density…

Q: The continuous random variable XX has a probability density function (pdf) given by Part(d) Find…

A:

Q: Suppose that the continuous random variable X has cumulative distribution function given by F(x)=…

A: Given that, X is a continuous random variable. X has a cumulative distribution function Fx. Fx is…

Q: A continuous random Variable X has probability Density function defined by f(x) = 5-5x; 0<=x<=1, =0…

A: The given function is: f(x)=5-5x, 0≤x≤1

Q: What is the variance of a continuous probability distribution given by the density function f(x) =…

A: The probability density function (PDF) is given by  for

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

A:

Q: The probability density function of the 'x' continuous chance variable is as shown in the figure. So…

A: Given pdf is as follows: fx=10x2           x&gt;100               x≤10

Q: Suppose that the probability density function of the length of computer cables is f (x) = 2x/(32)…

A: Let X be the continuous random variable which denotes the length of the computer cables.The…

Q: Suppose that the random variables X and Y have the following joint probability density functio f(x,…

A: f(x,y)=ce-8x-5y ; 0&lt; y&lt;x