The mean and standard deviation of a random variable x are ) and 4 respectively. Find the mean and standard deviation of the glVeh PAHUUHI variables: (1) y = x + 1 = (2) v = 8x (3) w = 8x + 1

Q: Let X be a random variable with mean E[X] = 20 and variance Var(X)= 3. Define Y = 3 - 6X. Calculate…

A: We have given that, Let X be a random variable with mean E[X] = 20 and variance Var[X] = 3   We know…

Q: If Y1, Y2, ... , Yn denote a random sample from the normal distribution with unknown mean u and…

A:

Q: The weekly demand for propane gas (in 1000s of gallons) from a particular facility is modeled by a…

A:

Q: A random variable, t, has p.d.f. H(t) given by H(t) = 3 e-3t when t >= 0 Calculate the standard…

A: Given: fHt=3e-3t           t≥0 This is similar to exponential distribution with λ equal to 3. It is…

Q: The PDF of random variable x is given as, [0.3507 Vx, 0<x<3 1,(x) = 0, otherwise Find the, (1) (ii)…

A:

Q: If X1, X2, .., Xn are mutually independent normal random variables, with their means all equal to 3…

A: From the given information, E(Xi)=3V(Xi)=10

Q: Given two independent random variables X and Y with means and standard deviations given by μ X = 5 ,…

A: It is given that the variables  X and Y are independent.

Q: 2n- 50 and p= 0.45

A: Given, Let, n =number of trials p =the probability of success q=1-p

Q: If the random variable X is normal with mean 2 and standard deviation 2, n what is P(X² – 4X < 1). -

A:

Q: Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7.…

A: Given that, Mean = 50 Standard deviation = 9

Q: The amount of gasoline in gallons sold by three different gas stations during one day is given by…

A: Given that E(X1)= 600, E(X2)= 800, E(X3)= 850 And  σ1= 55, σ2= 75, σ3= 100 Prices , a= 3.10, b= 3.20…

Q: (d) Compute the standard deviation of the random variable X. %3D hits

A: Let X denotes the number of hits.

Q: Let X1 be a normal random variable with mean 2 and variance 3 and let X2 be a no random variable…

A: Given that X1 follows Normal distribution with E(X1)=2 and V(X1)=3. X2 follows normal distribution…

Q: Suppose that the random variable has mean and variance o2>0. What are the values of a and b >0 such…

A:

Q: | Let X1, X2 X, be a random sample with pdf f(x; 0) =

A: Note: Hi there! Thank you for posting the question. As the pdf f(x) of the first question is not…

Q: Find the mean and the standard deviation of the normallydistributed random variable X if…

A: Given: P(X≤2.2) = 0.4 Here we need to calculate the corresponding Z value  Using Excel :…

Q: Suppose that the random variable X has mean u and variance o >0. What are the values of a and b>0…

A: Given data: The given expression is Y=a+bX. The given mean is μ=0. The given variance is…

Q: Given is the PDF of random variable X, where c = 1 and fx(x) = x^2 0<=x<=c. Determine the: 1.…

A: Given : c=1fx(x)=x2        0≤x≤cUsing c value,fx(x)=x2        0≤x≤1

Q: P(x) 0.645 1. 0.297 0.052 0.005 0.001 0.000 2345

A: We have to use following formulae , Standard deviation : σ = ∑( x - μ)2p(x) Where , μ is mean μ =…

Q: If E denotes the expectation the variance of a (random variable X is denoted as (E(X))^2 - E(X

A: Given: If E be the expectations then varience of random variable x  Var(x)= (E(x))^2-E(x)  a); True…

Q: Let X be a binomial random variable with a mean of 0.5 and a variance of 0.45. Find P(x=4).

A: Solution

Q: The random variable X is B(n,0.3) and E(X) =2.4. find n and the standard deviation

A: A random variable uses the binomial distribution, if it follows the conditions given below.  There…

Q: |Consider two independent random variables X and Z with means lx variances o and o, respectively.…

A:

Q: Determine the mean (ux), variance (a² x) and standard deviation (ax) of each. (Show your solution)…

A: According to policy we supposed to answer first question for remaining please repost the question.

Q: If a random variable X has the gamma distribution with a=2 and B=1, find P(1.6<X<2.5).

A:

Q: Find the F-test statistic to test the claim that the variances of the two populations are equal.…

A: Sample 1 S.D= s₁ = 2.1461 Sample 2 S.D= s₂ = 2.5122

Q: Suppose tlhe random variable X has mean p and variance o? > 0. What are the vn'ues of the numbers a…

A:

Q: 5. Compute the variance square and Standard Deviation for the POISSON Distribution of: Lambda A= 0.5…

A: Given,λ=0.5X~Poisson (λ=0.5)P(X=x)=e-λ λxx! ; x≥0

Q: A random variable X has P( 1.2 < X< 18.8 ) 2 15/16. Use Chebyshev's Theorem to find the standard…

A: According to chebyshev's theorem, the proportion of a distribution which will lie within k standard…

Q: Given that the variances of random variables X and Y are 1600 and 400, respectively. The correlation…

A:

Q: (a) Two independent random variables X, Y have zero mean, and variance 3,6 respectively. Estimate…

A: As per the guidelines, we are solving first question for you when multiple questions are posted.…

Q: Find the mean and the standard deviation of the normally distributed random variable X if…

A:

Q: Given a random variable X with mean ux and variance ož, find the mean and variance of the random…

A: Given, Mean Of Random Variable X : EX=μX Variance Of Random Variable X : VarX=σX2 New Random…

Q: random variable X is normal with mean 2 and standard deviation 2, then what is P(x2 - 4x < 1). 3

A:

Q: If the variance of a Poisson variate is 3. Find the probability that, ne (1) x =0 (ii) 1Sx<4 eor…

A: GivenThe variance of a poisson variate is 3in poisson distribution the parameter of mean and…

Q: Given that x represents the random variable for mass of potatoes and is approximately normally…

A:

Q: Find the approximate mean and variance of Y = √X, where X is a random variable following a Poisson…

A:

Q: Let X be a random variable with a variance of 2. Find the variance of 5X+5. Answer: Var(5X+ 5)=

A: We can find the answer as below

Q: Let X is a Gaussian random variable with zero mean an variance o · Y = X. Find mean of Random…

A:

Q: Find the marginal probabilities of each random variable X and Y in the following table: - Compute…

A:

Q: (b) Compute the mean and standard deviation of the random variable using Hx = E(x•P(x)] and oy =

A: here n= 6 p =0.7 q=1-p = 0\.3 here for binomial distribution p(x=r)=nr(p)r(q)n-r   so now…

Q: Suppose that a random variable X has a continuous uniform distribution: 4.3 <a< 13, f(2) = { 8.7…

A: The Probability distribution function of uniform distribution is  fx = 1b-a   ;   a &lt; x &lt; b0…

Q: If is a random variable that has a uniform distribution on the interval [0, 10], then p(x+ 27) PX+…

A: Let X be a random variable having a uniform distribution on the interval [0,10], then the pdf of X…

Q: IfX is a random variable that has a uniform distribution on the interval [o, 10], then pfx+ 10 27 is…

A: Let X be a random variable which has a uniform distribution on the interval [0,10], then the pdf of…

Q: If a random variable X has a binomial distribution with parameters n = 15 and p = 0.5, find : P(10…

A: Given, X has a binomial distribution with parameters n=15 and p=0.5 Therefore, the probability mass…

Q: Let μ and σ2 denote the mean and variance of a random variable X. Determine: (a) E[(X −μ)/σ] (b)…

A: Let μ and σ 2 denote the mean and variance of a random variable X

Q: Let X1, X2, X3… X20 be a random sample from a distribution with mean 8 and variance 5. Find the mean…

A:

Q: (a) Find the value of c.

A:

Q: The profits of a mobile company are normally distributed with Mean of R.O (17x 10) and standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Let X1, . . . , Xn a random sample from a Uniform distribution on the interval [0, 2θ + 1]. (a)…

A: Given  X~U[0,2θ+1]