Suppose that random variable X is uniform on ​[a, b]. If P( X > 5 ) = 5/6 and P (X > 11) = 1/2, find a?   a 2 b 4 c 20 d 27 e 40

Q: Previously, you studied linear combinations of independent random variables. What happens if the…

A: Since,

Q: 2. Let X be a random variable. Is it possible that px,x² = 1 for some X? What about PX,x² = -1?

A: Solution

Q: Find the expected value of q. d. Let X1, X2,., Xn be i.i.d. Bernoulli(p). Suppose q =

A: Bernoulli Trail: In probability theory, a Bernoulli trial is a random experiment which has exactly…

Q: A random variable x has the following prob. function: S P(x-4) | |26|31|2|36|20 K 2K 3K K2 2K 4K²…

A:

Q: If a random variable X is defined such that: E[(X - 3)2] = 18 and E[(X – 1)²] = 34. Then the values…

A:

Q: Suppose that X is a random variable which takes only two values: -2 and +2, and that Y = aX + b…

A:

Q: A nature reserve has one bird of an uncommon species which frequents the large expanse of reed beds…

A:

Q: Q3. The moment generating function for a random variable X is e3t M(t)=1-t2¹ What are the mean and…

A: The moment generating functionMx(t)=e3t/(1-t2)    -1<t<1To find mean and variance of X Concept…

Q: Suppose that V and W are random variables with Cov(V, W) = 0. Which of the following must also be…

A: Solution : V and W are random variable  If V and W are independent  so E(VW) = E(V).E(W) Cov(VW) =…

Q: Let X and Y be dependent random variables. Which statements are always true? Select one or more:…

A: # Let X and Y be dependent random variables. Which statements are always true?

Q: Let X be a regular random variable, then V( E(X)) = OA. V(X). O B. some positive number. OC. EX).…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: Given that the random viriable X has mean µ = 90 and SD e= 15, find the mean and SD of each of the…

A:

Q: Y = 0 Y = 1 Y = 2 Px(x) X = 4 1/5 1/12 1/3 X = 5 1/10 2/5 X = 6 Py(y) 3/5 3/20 1

A: Given that,  and  are independent discrete random variables with joint PMF is as follows: 1

Q: 3) Let x be a binomial random variable with n= 20 and p = HI / 100. a. Calculate P (x = 4) using the…

A: X follows Binomial distribution then the probability mass function of X is  PX=x=nx px 1-pn-x,  x=0,…

Q: Curingited With a medn of N= 12Kgt O Assume that the amounts of Weight the male College Student gain…

A: We have given that.   X~N( μ , ?^2 )   μ=1.3     , ?=5.3   Z-score =( x - μ )/?

Q: The mean of a discrete random variable x. Select one: O a. is none of these b. is correctly…

A: The mean of a discrete random variable is customarily denoted by μ.

Q: Let X and Y be independent random variables such that with a prob. 1/3 with a prob. 2/3 with a prob.…

A: Given : X = 1; probability = 1/3 X=0; probability = 2/3 Y=2 ; probability = 3/4 Y=-3 ; probability =…

Q: A grade in a probability course depends on exam scores X1 and X2. The professor, a fan of…

A: As per guidelines of Bartleby,we are giving here solution of first 3 parts only.

Q: A continous random variable x has p.d.f.,then a. f(x)>=1 b. f(x)>==0 C. d. f(x) >:0 0=<lt; f(x)=<1

A: It is given that f(x) is a probability density function (pdf) of a random variable X.

Q: Let X and Y be two independent random variables such that E[X]=3, E(Y)=4, V(X)=10 and V(Y)-20. Then…

A: According to the given information, we have E(X)=3E(Y)=4V(X)=10V(Y)=20

Q: Let X and Y be normaly distributed random variables. Which of the following are also normally…

A: Here, given that x and y are normally distributed normal variables. Then , we have to check the…

Q: 40% of Americans who travel by car look for gas stations and grocery stores that are close to or…

A: From the provided information, n = 30p = 0.40

Q: Suppose the p.d.f. of random variable X is defined as x³/20 if1<x< 3 f(x) = otherwise

A:

Q: Q2. Suppose X and Sare the sample mean and sample variance associated with a random sample of size n…

A: Given information Mean (µ) = 50 Standard deviation (σ) = 9 Sample size n = 16 Finding the Z- value…

Q: If a random variable X is defined such that: E(X +4) = 10 and E[(X +4)] = 112. Then the values of u…

A:

Q: 6. Suppose X is a random variable with E(X) = 4 and Var(X) = 9. Let Y = 4X + 5. Compute E(Y) and…

A: In question, Given E(X) = 4 and Var(X)=9 Y=4X+5 Then we'll find the value of E(Y). The solution is…

Q: A continous random variable x has p.d.f.,then a. f(x) >=1 b. f(x) >==0 O C. 0=;0

A: In above question we will talk about it is true or not for probability density function(pdf)

Q: For the discrete random variable X, P(X = 1) = p = 1 – P(X = -1). Please find c so as to be E(cX) =…

A:

Q: If X is a binomial random variable, for what value ofθ is the probability b(x; n, θ ) a maximum?

A: The value of q is given below:

Q: Suppose that X is a geometric random variable with parameter π. Show that P(X = n+k|X > n) = P(X =…

A:

Q: Let the random variable X denote the number of trials in ecess of r that are ed to achieve the r-th…

A: Given that,   The random variable X as the number of trails in excess of r that are required to…

Q: Let X₁, X₂ be a random sample coming from a Normal (0,1). Find the distribution of the following 1.…

A: It is given that X1, X2 follows N(0,1).

Q: A discrete random variable has the p.mf f(x) = ax x=1, 3, 5 O A. 0.11 O B. 9 OC. 4.5 O D. 5

A: Given data: f(x) = a.x Where , x = 1,2,3 To find : value of a

Q: (a) The correlation

A: Answer:

Q: 3. Let X₁, X2,..., Xn be iid random variables with mean and variance o2. Define the random variable…

A:

Q: Q2 Suppose Y is a discrete random variable such that P(Y= y) = K(1-a)-1,0 < a <1 for y = 1,2,... co.…

A: P(Y=y)=k(1-a)y-1 ; y=1,2,...

Q: Let X be a discrete random variable with the following pmf: 10 15 21 28 p(x) | 8-c 4.c 9-c 10-c 5.c…

A: It is given that, P( X≤ 2 ) = 0.24. That is, P( X≤ 2 ) = 0.24 P(X=0)+ P(X=1 ) = 0.24 8c+4c = 0.24…