Enter the correct number to make this a valid probability mass function. X 1 3 10...
Enter the correct number to make this a valid probability mass function. 3 10 P(X = x) 10.12 0.1
Which of the following tables shows a valid probability density function? Select all correct answers. Select all that apply: 0.04 0.89 0.07 P(X = z) P(X = z) 10 3 10 4 0 3-10 1-2 1-515 X 0. 0 0 0 0 X 01234 0123
f(x) = *, x = 1, 2, 3, 4 © Verify that f(x) is a valid probability mass function(pmf). © P(X < 2.5) * P(X > 1) © Compute the mean and variance
A joint probability density function is given by f(x,y)-c-x(2-x-y), for 0 < x < 1 and 0 < y < 1. Find the value of c to make this a valid density function.
A joint probability density function is given by f(x,y)-c-x(2-x-y), for 0
Which of the following distributions is(are) valid discrete probability distribution(s)? 2. 3. 4. X p(x) X P(X) X p(x) X P(X) 0.3 0 0.3 0 0.2 0 0.1 1 0.4 1 -0.2 1 0.7 1 0.1 2 0.3 2 0.9 2 0.2 N 0.8 O All are valid O 1,3, and 4 only 1 and 4 only 1 only 4 only
Explain why the probability mass function P(X = 1000) = 0.1, P(X = 1500) = 0.2, P(X = 2000) = 0.3, P(X = 2500) = 0.3, P(X = 3000) = 0.1 is not practical as a distribution for the number of phone calls to a help-desk call center during a day
Let X and Y be two random variables with joint probability mass function: (?,?) = (??(3+?))/(18*3+30)??? ?=1,2,3 ??? ?=1,2 (?,?) = 0, Otherwise. Please enter the answer to 3 decimal places. Find P(X>Y) and Let X and Y be two random variables with joint probability mass function: (?,?) = (??(4+?))/(18*4+30)??? ?=1,2,3 ??? ?=1,2 (?,?) = 0, Otherwise. Please enter the answer to 3 decimal places. Find P(Y=2/X=1) Please show work/give explanation
Fill in the table below such that it is a valid joint probability mass function for two independent discrete random variables X and Y .x Pxxtx.y Pi() 0.25 Px) 0.20 0.40 Check
Verify that the following function is a probability mass function, and determine the requested probabilities. f(x) = (3x+4)/50, x = 0, 1, 2, 3, 4 Is the function a probability mass function? (yes/no) Give exact answers in form of fraction. (a) P(X = 4) = ? (b) P(X ≤ 1) = ? (c) P(2 ≤ X < 4) = ? (d) P(X > -10) = ?
4. Let X be a continuous random variable defined on the interval [1, 10 with probability density function r2 (a) Find the value of c such that p(x) is a valid probability density function. (b) Find the probability that X is larger than 8 or less than 2 (this should be one number! (c) Find the probability that X is larger than some value a, assuming 1 < a< 10 d) Find the probability that X is more than 3