Given is a random variable X with probability density function, find expectation and variance of 2X+3: (4x - 4x³, f(x) = {4x=² . 0≤x≤1 otherwise

Q: the probability density function f(x) = the mean μ = the standard deviation o =

A: From the provided information,X is a random variable best described by a uniform probability that…

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A: Given data :  f(x)=e-x , x>0 0 , otherwise Finding Mean ,…

Q: If X is a discrete random variable, and it’s PMF function is given by f(x). What is the correct way…

A: According to the provided information, X is a discrete random variable, and it’s PMF function is…

Q: For the continuous probability function f(x) = 2kx? e-* when x 2 0. Find a. value of k %3D b. mean

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Q: Consider the random variable with a probability density function of f(x) =- 1 4 sxs6 x In (1.5)' and…

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Q: Let X be a Gaussian random variable with zero mean and variance equal to 2. 1-Find the probability…

A: It is given that, X be a Gaussian random variable with zero mean and variance equal to 2. That is,…

Q: If X is a random variable having a uniform distribution U (a,b) such that P(20<X<40)=D0.2 and mean…

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Q: For the given probability distribution, X f(x,y) 1 2 5 0.25 0.2 y 10 0.2 0.15 15 0.15 0.05 Determine…

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Q: If the probability density function of the random variable X is S1- |a| for |æ| < 1 f (x) = { 0, el…

A: The equation to find out the variance of a continuous random variable , when the PDF is given is ,…

Q: In a NiCd battery, a fully charged cell is composed of Nickelic Hydrox- yde. Nickel is an element…

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Q: Suppose x is a random variable best described by a uniform probability that ranges from 1 to 6.…

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Q: Given a random variable with probability distribution fundtion defined as below: f(x) = 0, otherwise…

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Q: I. Let X be the number of courses that thirty part-time students were taking this term. The…

A: Given data is  Number of Courses (x) P(x=x) 1 5/10 2 10/30 3 7/30 4 4/30 5 2/30 6…

Q: Suppose that the random variable B has the standard normal density. What is the conditional…

A: Step 1: The two roots of the equation x2 + 2Bx + 1 = 0 are real only if  |B| ≥ 1.  Since P(|B| ≥ 1)…

Q: А. Р(X > 22) - В. Р(X < 16.7) %3D С. Р(10 < Х < 19) - D. P(17 < X < 24) = %3D

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Q: Suppose x is a random variable best described by a uniform probability that ranges from 1 to 5.…

A: Answer:- Given, x is a random variable best described by a uniform probability that ranges from 1 to…

Q: Consider a continuous Random Variable X whose probability is distributed as 1 (x-10)² 8 fx(x) = 1.…

A: Let X be a continuous random variable and the probability density function (PDF) of X is given…

Q: а. Р(Х <- 2) b. Р(-1 <х < 1)

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Q: Find the value of P(X=1),for a binomial distribution where mean is equal to 3 having 6 trails.

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Q: Let X be a random variable having an exponential distribution with parameter equal to 3.3. Find the…

A: given data  exponential distribution λ = 3.3 P(x does not fall in interval 0.3 to 0.4) = ?

Q: Then find E[X], E[X2], E[2X+5], E[(X+1)²].

A: Solution - Given that X be a uniform random variable with pdf  f(x)=0.10   -5&lt;=X&lt;=5 Find E(X)…

Q: The lifetime in hours of an electronic gadget is a random variable having a probability density…

A: Solution: 3. From the given information, the probability density function of X is

Q: Since the probability function of the continuous random variable X that does not take negative…

A: From the given information, f(x)=1(1+x)2 Given that the continuous random variable X that does not…

Q: (a) The cumulative function Fx(x). (b) The median. (c) The mode.

A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPART PLZ REPOST FOR REMAINING PARTS

Q: The 3 month demand for a spare car part has the following probability mass function: x 0 1 2 p(x)…

A: Given Data: x 0 1 2 p(x) 0.25 0.5 0.25 a) The expression to calculate the probability of at…

Q: If X is a random variable with Binomial distribution of n=35 and p=0.45, find: i. E(X) ii. Var(X)…

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Q: Let X1, X2, ..., X144 be independent identically distributed (i.i.d.) random variables, each with…

A: Let be independent identically distributed random variables each with expectation The standard…

Q: Calculate the mean and variance of the random variable y, whose probability mass function is: f(y) =…

A: Farmula used E(Y)=∑YP(Y=y) Variance=V(Y)=E(Y2)-(E(Y))2

Q: Let Z be the standard normal random variable. Let X1 = Z, X2 = -Z be independent random variables.…

A: We have given that,  Z from the standard normal distribution with mean = 0 and variance = 1 i.e,…

Q: a. Find P(X<4), b. Find E(X). c Find SD (X). d. Find FOx), the cumulative distribution function.

A: Given, f(x)=340x+15           3≤X≤5

Q: If X is a continuous random variable that takes on values between 10 and 40, then the P(X = 15.5) =…

A: We have given that  X is a continuous random variable that takes on values between 10 and 40, then…

Q: Consider the continuous random variable X whose probability den- sity function is given by f(x) = x²…

A: The probability density function of X:- f(x) = x218   if -3≤x≤3

Q: 4 f(x) = OTHERWİSE 0, -12112

A: EX=∫-20x.fxdx+∫02x.fxdx=∫-20x12+x4dx+∫02x12-x4dx=∫-20x2+x24dx+∫02x2-x24dx=12∫-20xdx+14∫-20x2dx+12∫02…

Q: Suppose x is a normally distributed for continuous random variable with 4-10 and 6. Find value of xo…

A: First converting the variable into standard normal using z =(x-u)/σ where u is mean and σ is…

Q: IF it was XG (23) Independent of Xen G (13) Find Miley D-Probability density Function of the…

A: Sour, The prompt states that X1 follows a Gamma distribution with a shape parameter of 2/3, and X2…

Q: X is the number of successes in 10 independent Bernoulli trials. The variance of X is equal to 1/4…

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Q: If X is a uniformly distributed random varibale with a=8 and b=13, then Calculate the mean…

A: Answer: From the given data, X follows uniform distribution, a = 8  and  b = 13