The joint distribution of X and Y is given by: 3x²-2y f(x,y) = For x = -1,0,2 and y = -1,0. Then k = O 36 O 24 O 18 ) None of these

Q: *3. Let Z ~ N(0,1) and W x2 be independent. Find the distribution of: T =

A: Solution

Q: c) MC=24e and FC=72 Find the total cost. d) The probability of waiting in bus station is given with…

A: (c) Given: MC=24eQ   FC=72 The total cost is obtained by TVC+FC.

Q: 4) If X be a r.v. having t-distribution, then the value of e such that P(X>c)=0.05 is: a) 0.718. b)…

A: From the given information we find the t Value.

Q: 1. a) Give the name of the distribution of X M(t)=(0.3+0.7e')' .2 b) Find the value of A and Oʻ c)…

A: Given mgf is of Binomial distribution

Q: Given s indepcadant binary variables k,, Xa, Kz,-.., Kn, that can take the values of or 1, are…

A: X follows Bernoulli,

Q: The joint distribution of X and Y is given by: 3x2-2y f(x,y) = k For x = -1,0,1 and y = -1,0. Then k…

A:

Q: Let x be . Is x a discrete or continuous random variable?the cubic feet of space within a vehicle…

A: Find the nature  of variable x.

Q: d. Find v so that P >to.05,v) = 0.05. S/3 e. What is the distribution of 9X-X9 8 and its standard…

A: Xi~N(μ=2, σ2=42)

Q: Joint distributions for X, Y, and Z: Y=0 Y=1 Y=0 Y=1 X=0 0.125 0.125 0.405 0.045 X=1 0.125 0.125…

A: Joint distribution for X, Y, and Z is provided. The question's purpose is  to calculate the…

Q: The coefficient of variation of twwo distribution are 50,60. There A.M are 30,25 the D =? difference…

A:

Q: A fair die is rolled until a 6 is obtained. Let Y be the total number of rolls and X the number of…

A: A fair die is rolled until a 6 is obtained.Y be the total number of rolls and X the number of 1s.

Q: a) A Continuous distribution of a variable x in the range (-3,3) is defined as (3 + x)²;-3<x<-1 RAS…

A:

Q: Compare the kurtosis of the two distributions and interpret it. 1b) What is the z-score for a man…

A: Given information: Male Female Raw score z-score Female z-score 80.51 3 85.12 3 79.54 2…

Q: A coefficient of skewness of 2.85:          a.  indicates a large amount of negative skewness…

A: Here we have given the, Coefficient of skewness is 2.85 i.e. Sk = 2.85 We have to identify the…

Q: Anya has three identical tea cups. She randomly stores each cup in one of three cupboards, where…

A: From the given information, Anya has 3 identical tea cups. She randomly stores each cup in one of…

Q: Let A and B be independent RVs each having the uniform distribution on [0, 1]. Let U =min {A, B) and…

A:

Q: Suppose each license plate in a certain state has three letters followed by three digits. The…

A: * License plate must have       3 letters and 3 digits ; repetitions allowed.Also , letters H and L…

Q: Q#3: Let X and Y have the joint p.d.f described as follows (x, y) f(x,y) (1.1) 2 15 (1.2) 4 15 (1.3)…

A: From the given information, the joint probability mass function of x and y is displayed below.…

Q: What is the Mode of a triangle distribution: a²+²+²-ab-ac-be 18 atote Oc O a²+6² +6²-ab 18 C b

A: We have to find what the Mode of a triangle distribution from given figure.

Q: 2. There are n students with r females and n - r males. k students will be randomly chosen where k <…

A: There are n students with r Females and (n-r) MalesLet Y be the number of Females  k students are…

Q: Suppose a distribution has Q₁ = 101 Q² = 208 Then the value of coefficia Q = 30 Then the 04 Skewness…

A: Q1=10Q2=20Q3=30

Q: The uniform distribution of a r.v.x on four integers {12,30,55,80) is f(x)=for x = 1,2,3,4. True O…

A: In the given problem we have given that an uniform distribution with four integer values.

Q: Question: Imagine we have two bonds, whose value can vary between $0 and $100. Assume the joint…

A: Given,f(x)=c ; 0≤X≤100,  0≤X≤1000  ;  otherwise

Q: (b) Let X - N3 (u, E) where u' = [3, 1, 5] and 1 - 2 0] E=|- 2 5 2 (i) Are X, and X, independent ?…

A: Given that X~N3μ,Σ where μ'=3,1,5 and Σ=1-20-250002. Solution of part (i): X1 and X3 are…

Q: Example 4.2. Suppose the joint distribution of X and Y is given by 1 P(X = x, Y = y) 42 ; (x + y²)…

A: From the given information, PX=x,Y=y=142x+y2, I1,4xI-1,0,1,3y Consider, the two way table, Y|X 1…

Q: Anya has three identical tea cups. She randomly stores each cup in one of three cupboards, where…

A: From the given information, Anya has 3 identical tea cups. She randomly stores each cup in one of…

Q: Show that for the distribution : dF = Yo Hy = 1 X a (r-1) a² r+1-2p -P dx ;-a≤x≤a, 0<p<1. Hy-2.…

A:

Q: 30) The stalement the area to the right of a positive t-value is the same as the area to the left of…

A: t distribution: Let us assume X is a random variable following standard normal distribution and Y is…

Q: Three cylindrical parts are joined end to end to make up a shaft in a machine; 2 type A parts and 1…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: 5) Let X be a r.v. from standard normal distribution n(0,1). If Y= x+x+x;, then the distribution of…

A:

Q: 4) Suppose that the lifetime of a component (in hours) is modeled with a Weibull distribution with B…

A: Wei bull distribution : The Weibull Distribution may be a continuous chance distribution which will…

Q: Determine the percentage of cases that fall: 1. z score of 2: a) at score & tail b) at score & body…

A: we have to find area in tail and body. (A) z = 2 (b) z = -3.33

Q: chaes e [0,1) the random a number with uniform U From the unit interval. distribution. Define Y= 0²…

A: Given, A number u from the unit interval [0, 1] with uniform ditribution.           To find, The…

Q: 5. If X is normally distributed with a mean of 6 and a variance of 25, find a) P(1.2 ≤X -2) c) P(6…

A: Let X be a continuous random variable which is normally distributed with mean μ=6 and variance…

Q: 8. Find the z-score corresponding to a score of X = 45 for each of the following distributions. a. u…

A: (a) The given values are, The z-score is,