6. (简答题, 9.0分) f(x)= Suppose that the random variable X has the following density function (1) Find constant 4; (2) Find the distribution function F(x) of X; (0,4) (3) Find probability that fall in Acosx, x≤ IXP A
Q: Suppose a is a random variable best described by a uniform probability that ranges from 21 answers…
A: As per guidelines expert have to answer first question three subparts only since I have done all for…
Q: A continuous random variable X has the probability density function 2 -(9 – x) if 0 < x < 9 81 f(x)…
A:
Q: Q2) The shelf life, in days, for bottles of a certain prescribed medicine is a random variable…
A: Correct answer is 0.1840134
Q: A random variable X has the probability density function f(x) = e* on it support [0,z]. What is its…
A:
Q: Let X be a random variable with density function -1< x < 2, elsewhere. 2/3, f(x) = 0,
A:
Q: (a) Explain why P(X ≤x) #1, for every x. (b) Find a and b. (c) Find the probability density function…
A:
Q: b) Suppose that X is a random variable with the probability density function given f(x) = {201₁ Find…
A:
Q: True or False The Poisson probability density P(x), when evaluated at x equal to its mean value, is…
A:
Q: The joint probability density function fXY (x, y) of the random variables X, Y is given below has a…
A: Given : Uniformly distributed fxy(x,y) = K (K is constant)
Q: 0, elsewhere. Find the expected value and the covariance of g(X) = 4X + 3. %3D
A:
Q: If the continuous random variable X has the probability density ( 62(1 - 2) for 0<z<1 elsewhere f(2)…
A:
Q: A continuous random variable X has the probability density function f(x) = (4-x)/8, 0 ≤ x ≤ 4. Find…
A: The probability density function for a continuous random variable X is, fx=4-x8, 0≤x≤4
Q: (a) the value of k. (b) the mean and variance of X. (c) P(l£xs3).
A: According to the answering guidelines, we can answer only three subparts of a question and the rest…
Q: on. Marginal probability de
A: we know that fxy(X,Y)=k
Q: The distribution of salaries (in £10,000s per annum) in the building industry is represented by a…
A: 1) It is needed to find the value of C.
Q: A random variable X follows the continuous uniform distribution with a lower bound of - 4 and an…
A: Answer: From the given data, X~Uniform distribution Lower bound of -4 and Upper bound of 12
Q: Let Y₁, Y2, ..., Yn denote a random sample from the probability density function (0+1)yº, 0 −1,…
A: The first moment of Y about the origin based on the given density function&nbsp; is:Let be the…
Q: re x is the life length of transistor I ar . The joint probability density function 2e-(x+2) x 20, y…
A: The conditional probability is, The formula to compute density function of y is,
Q: The continuous random variable XX has a probability density function (pdf) given by Part(d) Find…
A:
Q: х3 (10-х) Q1. Show that f (x) = ; 0<x < 10; is a probability density function. (3marks) 5000
A: Q1. f(x) = x3(10-x)5000 ; 0≤x≤10
Q: A random variable 8-u (-÷:), find the probubility demsity function of the random variable Y = tan
A:
Q: A random variable X follows the continuous uniform distribution with a lower bound of - 7 and an…
A:
Q: A probability density function of a random variable is given by f(x) = expected value, the variance,…
A: Step 1: E(x) calculation Step 2:v(x) calculation Step 3: sd calculation Step 4: final result in…
Q: The probability density function for the continuous random variable X is given by: (A(x² – 2x + 21)…
A: Farmula used. V(X)=E(X2)-[E(X)]2 Sd(X)=√Var(X)
Q: What is the variance of a continuous probability distribution function with the probability density…
A: Introduction: In probability and statistics, the variance of a continuous probability distribution…
Q: The time, in 100 hours, that a student uses her game console over a year is a random variable X with…
A: Step 1:Step 2:Step 3:Step 4:Final Answer (a). 77.667(b). 1492.955
Q: A probability density function of a random variable is given by f(x)=x/8-1/2. on the interval [4,8]…
A: Given f(x)=x/8-1/2. on the interval [4,8]
Q: What is the expected value of a continuous probability distribution given by the density function…
A: Given that,The density function is
Q: Two random variables X and Y with a joint PDF f(x,y) = Bx+y for 0≤ x ≤6 , 0≤ x ≤7 and constant B…
A: Given, the joint PDF of X and Y is
Q: 2- Let the probability density function of the random variable X is = {²()* 0 f(x) = ,x= 1,2,3,... ,…
A: Given information:
Q: A random variable has density function f(x) = 1.6 - 1.2x, for 0≤x≤1. a) Calculate the variance of X.…
A: Given information:
Q: Martian potatoes begin to sprout very quickly after planting. Suppose X is the number of days after…
A: g) From the given information, the probability density function for X is,
Step by step
Solved in 4 steps with 4 images
- a continuous random variable with probability density function given v f(x): de-/100 0. What is the probability that • (a) a computer will function between 50 and 150 hours before breaking down? (b) it will function for fewer than 100 hours?Q2\ Consider is a continuous random variable with probability density function given by: Find: 1- P(50* Consider the probability density function fx (x) = a e-b lel where X is the random %3D variable which assumes all the values from (i) relation between a and b -00 to -00, Find (ii) the probability of finding X in the range 1 to 2.Find the expected value of the continuous random variable g(x)= x^2+3x+2, if the density function for random variable x are shown in the following equation. f() = [F(2x-1) 0The total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a random variable X having the density function shown to the right. Find the variance of X (x-8). f(x)2-(X-8). 9sx< 10, 8Suppose that the random variables X and Y have the following joint probability density function. f(x, y) = ce-8x - 5y, 0 0).The proportion of people who respond to a certain mail-order solicitation is a continuous random variable X that has the density function (2x + 4 0 < x<1 f(x) = - 0, 5 elswhere Find the stàndard deviation of above stated continuous random variable (X)The waiting line at a popular bakery shop can be quite long. Suppose that the waiting time in minutes has probability density function f(x) = 0.2 · e-0:2-* Calculate the mean and variance for the random variable: E(X) = i V(X) = iRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON