(1) Let X be a random variable with a function (k(3x² +6) f(x) = -1,0,1,2 , then O.w 1 1 (a) k =- 44 1 (b) k =. 43 (c) k = 42 (d) k = 44 7 (e) None of these !! a is the correct answer b is the correct answer c is the correct answer d is the correct answer e is the correct answer

Q: If the joint probability of the random variables X and Y is ! for 0<y< 4r < 4 S(z. y) = 0 lsewhere,…

A: Given the joint probability function- f(x,y)=12for 0&lt;y&lt;4x&lt;40elsewhere We need to find the…

Q: (52) Let X be a random variable with p.d.f. 1 5 0 <x<0 5 2 f(x) =- find E(e3 ) O.W

A: Given, X is a random variable with pdf- fx=15e-15x  ;0&lt;x&lt;∞0            ; otherwise

Q: (45) Let X be a random variable with p.d.f. ((k + 4)(x+2) 0<x<2 f(x)=- find (1) k (2) E(x) O.W

A: (45) (1) The random variable X with p.d.f is, fx=k+4x+2      0&lt;x&lt;20…

Q: 7) If a random variable X has mean 3 and variance 4, then E (X2 + 3X + 2) is: a) 12 (b) 36 (c) 24…

A:

Q: ) Let X be a random variable with p.d.f. 2k x = 1,2,3 (х - 1)! f (x) = find (1) k (2) E(2x) O.W

A:

Q: Pr[A]=7/9 Pr[B]=2/9 Pr[a|A]=3/5 Pr[b|A]=2/5 Pr[a|B]=1/3 Pr[b|B]=2/3 Find the following missing…

A: 1) Pr[B]=29 [given]2) Pr[b]=Pr[A and b]+Pr[B and…

Q: (1) Let X be a random variable with p.d.f. ke 2x f(x) ={ 0 <x<0 , then o.w (a) k=3 (b) k=2 (c) k =-…

A: Reviewing information, X is a r.v. with pdf, f(x)=k·e-2x                                   ;…

Q: 2 3 P(X) K 0.16 2K 0.17 3K 0.13 Find (a) k (b) P(X < 1) (c) P(X 2 1) (d) F(2) (e) Mean of the random…

A: As per our guidelines we are suppose to answer three sub pares. We know that total probability is…

Q: We know that X is an unknown distribution with a mean of u and a variance Xị are i.i.d. e

A: From the given information, X is an unknown distribution with a mean of μ and a variance of σ2; And…

Q: Recall: X(n, p) is a binomial random variable means P(X = x) = p*(1 – p)"-* x(n-x) Let X(n, p)…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: (2) In mathematics department, there are 5 professors, 2 of them are Saudis. Two professors are…

A: Given: Total number of professors (N) = 5 Number of Saudi professors (K) = 2 Number of non Saudi…

Q: 2. Tracey feeds 9 squirrels and 3 of them have wonky tails. Tracey chooses 2 of them at random to…

A:

Q: (3) Let X be a random variable with p.df 12(3x+ 0<x<1 15 , then P(0<x< 0.5) is o.w 7 (d) 7 (a) 60…

A:

Q: 7 The discrete random variable X has probability distribution given by (4x +7) P(X= x) = for x= 1,…

A:

Q: Question 6: Circle correct answer choice(s) (i) Let W, X and Y are random variables. Choose the…

A: formulae used E(4X)=4E(X) Var(4X)=16 Var(X) Expectation of a constant=constant i.e. E(4)=4 Variance…

Q: (1)A random variable is defined as 1/36(2x-1); x= 1,2,3,4,5,6     (a)Construct the Probability…

A: Random variable  X defined  as  fx=1362x-1   x=1,2,3,4,5,6∴fi=PX=xi         x1=1, x2=2,x3=3…

Q: The probability distribution function of a discrete random variable X is x2 55 ,x = 1,2,3,4,5 0,…

A: Find  Var(3X+2)=? 5E(2X-1)=? E(2X+1)2=?

Q: (a) Discuss the two expressions 2(x₁ - x)² and (-1) 2(x,-)², both of which are used to measure the…

A: Solution: As per the guidelines only first three sub parts should be answered. In case the remaining…

Q: (3) Let X be a random variable with p.d.f -(3x+6) 15 0<x<1 f(x) =- then E(Gx) is O.w 4 7 15 (b) 15…

A: We want to find correct answer for question

Q: 1-4x 10) If a random variable assumes 4 values with probability 1+3x 1-x 1+2x and ¹-4 4 4 4 the…

A: Here for given probability check whether using value of x total probability is equal to 1 and all…

Q: What would be the probability of an event 'G' if H denotes its complement, according to the axioms…

A:

Q: (1) Let X be a random variable with a function x= 0,1, 2,3 4 xt(3-x)! S(x)=- , then E(x+1) is o.w…

A:

Q: (b) Let X~N(40,144) and if Y = 2X - 1 Find the following probabilities: (i) P(X 50) (iii)P(35 < X S…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (1) Let X be a random variable with a function (3 4 x! (3-x)! S(x) =- x= 0,1, 2,3 . then E(x+1)is…

A:

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: With individual lines at the checkouts, a store manager finds that the standard deviation for the…

A: Here, the data is based on the waiting time. Hence, only one population is involved in the study.…

Q: 6x) 0<x<1 S(x)%=D , then p(x<1) is (a) 1 (b) 2 (c) 3 (d) 4 (c) None of these

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

Q: (1) Let X be a random variable with a function [3 1 x= 0,1,2,3 4 x! (3-x)! fx) = { , then E(x) is…

A: Given, X is a random variable with the function below

Q: aim that the main systolic blood pressure for vegetarians is lower than the mean sy re for…

A: The objective is to test whether the average  blood pressure of vegeterains is lower than that of…

Q: Task of the day (a) If Z=aX+ bY and r is the correlation coefficient between X and Y, show that…

A: The variance of a random variable X, denoted by Var(X), is defined as a measure of dispersion of the…

Q: (1) Let X be a random variable with a function (3 1 4 xt (3-x)! *- 0,1, 2,3 , then E(x+1) is o.w (e)…

A:

Q: 48) Let X be a random variable with p.d.f. 1 -8x 0<x<00 k f(x)= , find k. O.w

A:

Q: Example: (k (x+1) p(x) = P) is p.d.f. I x = 1,2,3,4 elsewhere Ep(x)=1 k(1+1)+ k(2+1)+k(3+1)+ k(4+1)…

A: Given, Probability mass function is: P (x) = k (x+1)                x = 1, 2, 3, 40…

Q: (a) g(X1, X2, X3) = X1 + 3X2 + 4X3 (b) g(X1, X, X3) = X1 X2 X3

A:

Q: Example 11: If X is a continuous random variable and k is a constant, then prove that (i) Var (X +…

A: Given that X is a continuous random variable and we need to prove properties of variance.

Q: -2 kx 1<x<0

A: The probability density function given is, fx=12kx-2 , 1&lt;x&lt;∞0 , o.w Here X is the random…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.