find the pmf of x, p(3/5 < x < 3), the expectation of x, and the standard deviation of x
Suppose that X follows a discrete random variable with the following pmf table. x 3 4 5 p(x) 0.3 0.4 0.3 Find the standard deviation of X. Use two decimal points.
Problem 3) In an experiment to monitor two calls, the PMF of N, the number of voice calls, is 0.2 = 0 P. ) 10.7 = 1 10.1 O = 2 otherwise a) Find E[M], the expected number of voice calls. b) Find E[N], the second moment of N. c) Find Var[M, the variance of N. d) Find on, the standard deviation of N. Problem 4) For the following random variable X. 0 <-3 0.4 -35x<5 F (x)= 0.8 55x<7...
Let the probability mass function of X be given as 5. | | P(X-x) a) Find the pmf of Y2 b) Find the pmf ofY X2 0.3 0.60 Let the probability mass function of X be given as 5. | | P(X-x) a) Find the pmf of Y2 b) Find the pmf ofY X2 0.3 0.60
A value=2 A -2 It is known that for a random variable X, the Expectation of X equals 5, and that the Variance equals 7. A random variable Y is defined as: Y= AX+2A = (INSERT THE VALUE OF A) 3(a) Find the Expectation of Y 3(b) Find the Variance of Y 3(c) Find E[Y) 3(d) Find the Standard Deviation of Y Question 4 (10%) For the following probability density function. What is the probability P(x>0.? SÅ (1-x) -A<x<A
2. (10p) Consider two independent random variables X and . The first has a unform pdf on (o.2) and the latter a Poisson pmf with mean 3. (1) Find the correlation E[XY] 2) Find the expectation E[e y']. 2. (10p) Consider two independent random variables X and . The first has a unform pdf on (o.2) and the latter a Poisson pmf with mean 3. (1) Find the correlation E[XY] 2) Find the expectation E[e y'].
18) Given, a) find marginal pmf for X. (4 points) b) find P (Y = 1|X = 1). (4 points) P(x,y) x = 0 x = 1 x = 2 y = 0 y = 1 y = 2 0.32 0.03 0.01 0.06 0.24 0.02 0.02 0.03 0.27
(17) Suppose X has the following pmf: p(0) = 0:2; p(1) = 0:5; p(2) = 0:3. Calculate E(X), E(X2), and E(X2) - E(X)2.
x -4 -3 -2 -1 0 P(X = x) 0.1 0.1 0.1 0.3 0.4 Step 1 of 5: Find the expected value E(X)E(X). Round your answer to one decimal place. Step 2 of 5: Find the variance. Round your answer to one decimal place. Step 3 of 5: Find the standard deviation. Round your answer to one decimal place. Step 4 of 5: Find the value of P(X>−1)P(X>−1). Round your answer to one decimal place. Step 5 of 5: Find...
2. Let Px(x) = 1, X = 1,2,3, 4, 5, zero elsewhere, be the pmf of X. Find P(X = 1 or 2), P(3 < X < ), and P(1 < X < 2).
1. Consider a discrete bivariate random variable (X,Y) with the joint pmf given by the table: Y X 1 2 4 1 0 0.1 0.05 2 0.2 0.05 0 4 0.1 0 0.05 8 0.3 0.15 0 Table 0.1: p(, y) a) Find marginal distributions of X and Y, p(x) and pay respectively. b) Find the covariance and the correlation between X and Y.