Suppose f(x) = 0.25. What range of possible values can X take on and still have the density function be legitimate?
a. |
[0, 4] |
|
b. |
[4, 8] |
|
c. |
[−2, +2] |
|
d. |
All of these choices are true. |
Suppose f(x) = 0.25. What range of possible values can X take on and still have...
1. Suppose that X and Y are random variables that can only take values in the intervals 0 X 2 and 0 Y 3 2. Suppose also that the joint cumulative distribution function (cdf) of X and Y, for 0 < 2 and 03 y 3 2, is as follows: Fy). 16 [5] (a) Determine the marginal cdf Fx(x) of X and the marginal cdf Fy () of Y [5] (b) Determine the joint probability density function (pdf) f(x, y)...
Suppose that 3 s f'(x) = 4 for all values of x. What are the minimum and maximum possible values of f(7) - f(2)? 28 X = f(7) - f(2) S 8 Enhanced Feedback Please try again. You may find the Mean Value Theorem is helpful in solving this problem; use the inequalities for the values of the derivative to obtain estimates for the difference of function values. Need Help? Read It Talk to a Tutor
Q2. . Suppose X and Y have joint density hr'y, x20,y 20, z y< 1 f(x, y) 0, otherwise Find h to make f(z, y) a legitimate density function. Then find the marginal distribution of X
Problem 1. Suppose X is N(12,42) i) what range of values does X take on 68% of the time? ii) what range of values does X take on 95% of the time? Let Y be the sum of three random variables described above. ii) What is the distribution of Y? iv) U is N(10,4) and V is N(8,9). What is the distribution of U-V?
Problem 1. Suppose X is N(12,42) i) what range of values does X take on 68%...
2. Let X and Y be continuous random variables with joint probability density function fx,y(x,y) 0, otherwise (a) Compute the value of k that will make f(x, y) a legitimate joint probability density function. Use f(x.y) with that value of k as the joint probability density function of X, Y in parts (b),(c).(d),(e (b) Find the probability density functions of X and Y. (c) Find the expected values of X, Y and XY (d) Compute the covariance Cov(X,Y) of X...
Problem #8: Suppose that X and Y have the following joint probability density function. f(x,y)- ^x, 0 < x < 5, y> 0, x-2 <y <x+:2 146 (a) Find E(XY (b) Find the covariance between X and Y.
Problem #8: Suppose that X and Y have the following joint probability density function. f(x,y)- ^x, 0
TOPIC: Random variables with bounded range Suppose a random variable X can take any value in the interval [−1,2] and a random variable Y can take any value in the interval [−2,3]. QUESTION 1: The random variable X−Y can take any value in an interval [a,b]. Find the values of a and b: a= b= QUESTION 2 (Yes or No): Can the expected value of X+Y be equal to 6?
X is a Discrete Random Variable that can take five values Given The five possible values are: x1 = 4 (Units not given) X2 = 6 (Units not given) X3 = 9 (Units not given) X4 = 12 (Units not given) X5 = 15 (Units not given) The associated probabilities are: p(x1) = 0.14 (Unitless) p(x2) = 0.11 (Unitless) p(x3) = 0.10 (Unitless) p(xx) = 0.25 (Unitless) Question(s) 1. If the five values are collectively exhaustive, what is p(x5)? (Unitless)...
6. Suppose that a random variable X can take each of the five values -2, -1, 0, 1, 2 with equal probability. Determine the probability mass function of Y- X-x
pls use the geogebra application to answer question 2 for
me
QUESTION 2 Verify whether f(x) is a probability density function (pdf) by going through the following steps. a. Enter the entries in the table into the spreadsheet view in GeoGebra b. Plot all pairs of points (x,f(x)) and fit an appropriate curve or polynomial to the points. c. Show, by shading, the region corresponding to the area under f(x) for the range of x values 0 SXS 4. d....