2. For the following discrete variable with probability f(x) 1 3 4 f(x) 0.2 0.15 2c 0.05 0.15 (b) Determine P(X > 1)
Q: 3. Given that the continuous random variable X has distribution function Fl2) as F(x) =0 when 2<1…
A: The graph is given below: From The graph it is concluded that when x approaches 1 from both the…
Q: 4 The continuous random variable X has p.d.f. f(x) where for -3 2.5)
A:
Q: 16. Show that for the chi-square distribution 1 2 2. 1 f (x³) d (x³) = X (x) e 2n/2 r n/2 H (about…
A:
Q: Find the distribution function for f(x). (0.5 1 1<x<2 ƒ(x) = { ½ x x 2<x<3 0 elsewhere
A:
Q: 13. If X has the distribution function for x<-1 1 for -1 sx<1 F(x) for 1Sx<3 for 3<x<5 1 for x25…
A:
Q: 10- Referring to table beside, When Epxy (x, y) = 0.01, then: %3D a- X= 2.5 Table: Discrete joint…
A:
Q: Let X = U(3) find E(3x+7) and distribution function.
A: As per our guidelines we are suppose to answer first question .
Q: (x, if 0<x < 1, 2-x, if 1 s x < 2,, (0, elsewhere Let f(x) find the distribution function F.
A: We have to do integration interval wise.
Q: 3. Let f(x,y) = for x,y 20. Compute the probability that X> 1 given that Y = y for some y. V
A: Solution is given below
Q: Find B, of the distribution: df = - xe-* 0<x<c0, with u'1=1, Xe-x u'2 = 3, µ'3 =12.
A: Given: Distribution Function: fx=12xe-x, 0<x<∞ Raw moments, μ1'=1μ2'=3μ3'=12 Central…
Q: If X is a binomially distributed radom variable with E(X) var (X) 4/3; find the distribution of X. 2…
A:
Q: (ii) If X is a Poisson distribution such that 2 P(X = 0) + P(X=2) = 2P(X= 1). find E(X). %3D %3D
A: It is given that, 70% of the tiger inoculated with serum are protected from a certain disease i.e.…
Q: Suppose that X is normally distributed with u = 10 ando 2. Find P(IX 10|S3)
A:
Q: (b) Suppose that the random variables X and Y have the joint p.d. f. f(x, y) = {kx(x – y),0 < x <…
A: Given : f (x , y) = kx x - y , 0<x<2 , -x<y<x0 , elsewhere (i) To…
Q: 2. Two independent variables X and Y have a distribution function F(x)=x and F(y)=y respectively, if…
A:
Q: Assume that X follows a continuous uniform distribution on the interval [3, 8]. Find P[X s 6].
A:
Q: 2. For the following discrete variable with probability f(x) X 1 2 3 4 5 f(x) 0.2 0.15 2c 0.05 0.15…
A: Given:
Q: 3. If X has a uniform distribution in (0,1) with p.d.f f(x)=1, 0<x<1 = 0, otherwise. Find the…
A:
Q: Find the z-score corresponding to a score of X = 45 for each of the following distributions. μ = 40…
A: Given: X = 45 Z score z=x-μσ
Q: For the continuous probability functionf(x) = Kx when x20 find
A:
Q: [4+Be. x>0 2. F(x)={ l0. is the cumulative distribution function for some continuous rv. Find A=.…
A:
Q: 1..Consider that a game involves the spinning of a dial which is not fair. As the dial is not fair,…
A: i) For f(x) to be a valid PDF, the sum of all probabilities across the X range should be 1.…
Q: 2. A college professor never finishes his lecture before the end of the hour and always finishes his…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: 2. A college professor never finishes his lecture before the end of the hour and always finishes his…
A: ANSWER:-
Q: Suppose that f(x) = e* for x > 0. Determine the following probabilities: Round your answers to 4…
A:
Q: 2. Show a relation between the beta and the binomial distributions by proving the following relation…
A: Beta Distribution Beta - Binomial distributions are specifically used for Bayesian models for…
Q: Q4-Find the distribution function associated with f(x) = , for 0 < x < 1 or 2 < x < 4, and zero…
A:
Q: 1. Suppose that the lifetime in years, X, of a type of electrical switch follows the distribution f…
A: Given equation is the pdf of an exponential distribution with mean 2 X is an exponential…
Q: 2. For the following discrete variable with probability f(x) X 1 2 4 f(x) 0.2 0.15 2c 0.05 0.15 By…
A: Given:
Q: 2. Assume Y - N3(0, I,). Define Q1 = Y"AY and Q2 = YTBY, where 1 1 0 1 0 0 0 1. -1 0 -1 1 A = 1 and…
A:
Q: There are 2 categories: category 1 follows a uniform distribution: Sk (0 0) %3D - m If the prior…
A:
Q: Why the probability P(X=x)=0, for a continuous variable,?
A: Given info: The probability P(X=x)=0, for a continuous variable
Q: Suppose that f(x) = e* for x > 0. Determine the following probabilities: Round your answers to 4…
A: Givenf(x)=e-x ; x>0
Q: 11) If X be ar.v. from exponential distribution S(x) = ie¯ A>0, x20 Then the moment generating…
A: Given r.v from exponential distribution
Q: Determine whether the following is a valid distribution function F(X) = 1- e/2 for x>0
A:
Q: for x >1 f(x) = otherwise Given that a randomly selected home is insured for at least 1.5, what is…
A:
Q: Suppose it is known from large amounts of historical data that X, the number of cars that arrive at…
A: From the given information, let X be the event that number of cars arrive at a specific intersection…
Q: Random variables X and Y are connected through pgf ¤x(s) and Vy(s) by the relation x(s) = s¥y(/s)…
A:
Q: B/ Let the distribution function c.d.f of X is 0 0.8 Find the PMF of X. F(x) = 0.9 0.98 x < 0 0≤x≤1…
A:
Q: Let X₁ and X₂ be the payoffs of two investments with E(X₁) = E(X₂) = 10. The expectation of the…
A: Given, X1 and X2 be the payoffs of two investments with EX1=EX2=10.
Q: 1. If X has the distribution function 0 for x1) e. P(-0.4 <X< 4) f. P(X = 5) 114
A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…
Q: For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random…
A: a. The PDF is given by, f(x) = 1532x4-c<x<c0otherwise i. f(x) is a density function. So,…
Q: This result leads immediately to an important generalization. Consider a function of X and Y in the…
A:
Q: IF x and y and Z have Gamma distribution with the following p.d.f EX4 1- f(x)= X >0 25 Ts 0. O.w…
A: A random variable X is said to have gamma distribution with shape parameter α=k and scale parameter…
Q: 7. Consider the function P(x) 12 %3D 25x for x = 1,2,3 and 4. What is the probability that x is…
A: The Probability Density Function is given as, Px=1225x This function is defined for x∈1,2,3,4.…
Q: 13. If X has the distribution function for x<-1 1 for -1 sx< 1 Fx) for 1sx<3 for 3sx<5 for xz5 find…
A:
Q: 5. If X and Y have the joint probability distribution f(x, y)=1/4, for x=-1and y=-1,x=-1 and y=1,x=1…
A: Given: fx,y=14=0.25 The joint probability function is shown below X -1 1 Y -1 0.25…
Q: Let X and Z be two discrete-valued random variables. Suppose E(Z|X the specific form = x) is a known…
A:
Q: 5.2.1 The conditional probability distribution of Y given X = x is fy.0) = xe-y for y> 0, and the…
A: We have to answer question based on exponential distribution and uniform distribution.
Step by step
Solved in 3 steps with 3 images
- The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the conditional probability of the event E, getting a six, given that the event F, getting an even number, has occurred is P(EF)=___________.5. Why the probability P(X=x)=0, for a continuous variable,?Consider a function F (x ) = 0, if x < 0 F (x ) = 1 − e^(−x) , if x ≥ 0 Is the corresponding random variable continuous?
- Suppose X is a continuous random variable with p.d.f. fX(x) = kx2(1 − x) if 0 < x < 1. (b) Find the c.d.f FX(x) explicitly.You consider investing £800 in stocks of the company X for a certain period. There is a possibility for X to merge with Y, in which case you expect your investment to appreciate £300, otherwise you expect it to depreciate £200. Also, rather than investing, you can choose to keep your £800. By using a utility function U(x)=x−−√, and by defining pthe probability that X merges with Y, what is the condition that p must satisfy for your investment to be worthwhile (rounded to two decimal places)?When a certain glaze is applied to a ceramic surface, the probability is 5% that there will be discoloration, 20% that there will be a crack, and 23% that there will be either discoloration or a crack, or both. Let X = 1 if there is discoloration, and let X = 0 otherwise. Let Y = 1 if there is a crack, and let Y = 0 otherwise. Let Z = 1 if there is either discoloration or a crack, or both, and let Z = 0 otherwise. a) Let pX denote the success probability for X. Find pX. b) Let pY denote the success probability for Y. Find pY. c) Let pZ denote the success probability for Z. Find pZ. d) Is it possible for both X and Y to equal 1? e) Does pZ = pX + pY? f) Does Z = X + Y? Explain.
- If a probability generating function of a random variable x is Px(s)=(1/3+2/3s)^6 determine E(x),var(2x) and pr(X>1)If a random variable X has a discrete uniform distribution. fx(x)=1/k for x=1,2,..,k;0 otherwise. Derive P.G.F of X and compute E(2x+1)1. Suppose that the amount X dispensed by a beverage-dispensing machine has a uniform probability distribution on [a, b] (in Ounces). (a) Given a and b, find x0 such that P(X < μ+x0) = 0.90, where μ = E[X]. (b)Given an i.i.d. sample X1, . . . , X200, explain how to estimate θ = b − a. Is the proposed estimator unbiased?
- For the continuous probability function f(x ) = kx^2e^-x when 0≤x≤1. Find (a)k (b)mean (c)varianceSuppose X has probability distributionx: 0 1 2 3 4P(X = x) 0.2 0.1 0.2 0.2 0.3Find the following probabilities:d. P(X = 1 or X ≤ 3)e. P(X = 2 given X ≤ 2)f(x) for a continuous probability function is 1/18 , and the function is restricted to 2 ≤ x ≤ 20. What is P(x < 2)?