Suppose X is a random variable with probability mass function Find k. A. 9/80 B. 11/20...

Question

Question

Suppose X is a random variable with probability mass function

f(x) = k if x = 0 3k if x = 1 11/20 if x = 3

Find k.
A. 9/80 B. 11/20 C. 9/20 D. 18/50 E. none of the preceding

math Statistics-And-Probability

Answer 1

Answer #1

S k f1x) = 3K it it if Z=1 li x=3 g) ralue of k Kt3kt 4 & tu go Ucz 9 1 k = + 9 (AI

Answer 2

Similar Homework Help Questions

Suppose X is a random variable with probability mass function f(x) = k if x =...

Suppose X is a random variable with probability mass function f(x) = k if x = 0 k if x = 1 3k if x = 2 14/25 if x = 3 Find k. A. 11/500 B. 11/250 C. 11/125 D. 11/120 E. none of the preceding
Suppose density function positively valued continuous random variable X has the probability a fx(x)kexp 20 fixed...

Suppose density function positively valued continuous random variable X has the probability a fx(x)kexp 20 fixed 0> 0 for 0 o0, some k > 0 and for (a) Find k such that f(x) satisfies the conditions for a probability density function (4 marks) (b) Derive expressions for E[X] and Var[X (c) Express the cumulative distribution function Fx(r) in terms of P(), the stan dard Normal cumulative distribution function (8 marks) (8 marks) (al) Derive the probability density function of Y...
3. A random variable X has the probability mass function P(x = k) = (a >...

3. A random variable X has the probability mass function P(x = k) = (a > 0, k =0,1,2...). (1 + a)! Find E[X], Var(X), and the Moment generating function My(t) = E[ex]

1. Suppose X and Y are discrete random variables with joint probability mass function fxy defined...

1. Suppose X and Y are discrete random variables with joint probability mass function fxy defined by the following table: 3 y fxy(x, y) 01 3/20 02 10 7/80 3/80 1/5 1/16 3/20 3/16 1/8 2 3 2 3 a Find the marginal probability mass function for X. b Find the marginal probability mass function for Y. c Find E(X), EY],V (X), and V (Y). d Find the covariance between X and Y. e Find the correlation between X and...
Suppose that the probability mass function for a discrete random variable X is given by p(x) ...

Suppose that the probability mass function for a discrete random variable X is given by p(x) = c x, x = 1, 2, ... , 6. Find the value of the cdf F(x) for 3 ≤ x < 4.
4. Suppose that X is a random variable having the following probability distri- bution function -...

4. Suppose that X is a random variable having the following probability distri- bution function - 0 if r<1 1/2 if 1 x <3 1 if z 2 6 (a) Find the probability mass function of X. (b) Find the mathematical expectation and the variance of X (c) Find P(4 X < 6) and P(1 < X < 6). (d) Find E(3x -6X2) and Var(3X-4).

I . (20%) Random variable X has the probability density function as ; Random variable Y...

I . (20%) Random variable X has the probability density function as ; Random variable Y 2X+1 0 otherwise a) Determine A b) Determine the Probability Distribution Function F, (x) c) Determine E(X) and ơx d) Determine the probability density function fy(y) and E(Y)
1. 20 points Let X be a random variable with the following probability density function: f(x)--e+1"...

1. 20 points Let X be a random variable with the following probability density function: f(x)--e+1" with ? > 0, ? > 0, constants x > ?, (a) 5 points Find the value of constant c that makes f(x) a valid probability mass function. (b) 5 points Find the cumulative distribution function (CDF) of X.
Consider the discrete random variables X and Y with the following joint probability mass function: 2...

Consider the discrete random variables X and Y with the following joint probability mass function: 2 y fxy(x,y) -1 0 1/8 0 -1 1/4 0 1/4 0 1/8 -1 1/8 1 -1 1/8 What is P(X = 1 Y = 0)? Are X and Y independent? 1 1 1 A. 0; independent B. 1/2; independent C. 1/2; dependent D. 1/8; dependent E. none of the preceding 3. Multiple Choice Question Suppose that the number of bad cheques received by a...

9.) Suppose that X is a continuous random variable with density C(1- if r [0,1 0...

9.) Suppose that X is a continuous random variable with density C(1- if r [0,1 0 ¡f x < 0 or x > 1. (a) Find C so that px is a probability density function (b) Find the cumulative distribution of X (c) Calculate the probability that X є (0.1,0.9). (d) Calculate the mean and the variance of X 10.) Suppose that X is a continuous random variable with cumulative distribution function Fx()- arctan()+ (a) Find the probability density function...