Question

Suppose X is a discrete random variable with probability mass function given by p (1) =...

Suppose X is a discrete random variable with probability mass function given by

p (1) = P (X = 1) = 0.2

p (2) = P (X = 2) = 0.1

p (3) = P (X = 3) = 0.4

p (4) = P (X = 4) = 0.3

a. Find E(X^2) .

b. Find Var (X).

c. Find E (cos (piX)).

d. Find E ((-1)^X)

e. Find Var ((-1)^X)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X be a discrete random variable with probability mass function (pmf) P (X = k)...
Let X be a discrete random variable with probability mass function (pmf) P (X = k) = C *ln(k) for k = e; e^2 ; e^3 ; e^4 , and C > 0 is a constant. (a) Find C. (b) Find E(ln X). (c) Find Var(ln X).
Question 1 Refer to the probability function given in the following table for a random variable...
Question 1 Refer to the probability function given in the following table for a random variable X that takes on the values 1,2,3 and 4 X 1 2 3 4 P(X=x) 0.4 0.3 0.2 0.1 a) Verify that the above table meet the conditions for being a discrete probability distribution b) Find P(X<2) c) Find P(X=1 and X=2) d) Graph P(X=x) e) Calculate the mean of the random variable X f) Calculate the standard deviation of the random variable X...
Consider a discrete random variable X with probability mass function P(X = x) = p(x) =...
Consider a discrete random variable X with probability mass function P(X = x) = p(x) = C/3^x, x = 2, 3, 4, . . . a. Find the value of C. b. Find the moment generating function MX(t). c. Use your answer from a. to find the mean E[X]. d. If Y = 3X + 5, find the moment generating function MY (t).
1. Let X be a discrete random variable with the probability mass function P(x) = kx2...
1. Let X be a discrete random variable with the probability mass function P(x) = kx2 for x = 2, 3, 4, 6. (a) Find the appropriate value of k. (b) Find P(3), F(3), P(4.2), and F(4.2). (c) Sketch the graphs of the pmf P(x) and of the cdf F(x). (d) Find the mean µ and the variance σ 2 of X. [Note: For a random variable, by definition its mean is the same as its expectation, µ = E(X).]
Q6/   Let X be a discrete random variable defined by the following probability function x 2...
Q6/   Let X be a discrete random variable defined by the following probability function x 2 3 7 9 f(x) 0.15 0.25 0.35 0.25 Give   P(4≤  X < 8) ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ Q7/ Let X be a discrete random variable defined by the following probability function x 2 3 7 9 f(x) 0.15 0.25 0.35 0.25 Let F(x) be the CDF of X. Give  F(7.5) ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ Q8/ Let X be a discrete random variable defined by the following probability function : x 2 6...
given the discrete probability distribution below: x 10 20 30 40 50 P(x) 0.3 0.05 0.1...
given the discrete probability distribution below: x 10 20 30 40 50 P(x) 0.3 0.05 0.1 0.05 0.2 calculate: a. E(x) b. Var(x) c. σx
Determine whether or not the table is a valid probability distribution of a discrete random variable....
Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully. a. x -2 0 2 4 P(x) 0.3 0.5 0.2 0.1 b. x 0.5 0.25 0.25 P(x) -0.4 0.6 0.8 c. x 1.1 2.5 4.1 4.6 5.3 P(x) 0.16 0.14 0.11 0.27 0.22
The following table denotes the probability distribution for a discrete random variable X. x -2 0...
The following table denotes the probability distribution for a discrete random variable X. x -2 0 1 2 9 p(x) 0.1 0.3 0.2 0.3 0.1 The standard deviation of X is closest to Group of answer choices 3.74 4.18 2.77 7.65 11
Let x be a discrete random variable with the following probability distribution x: -1 , 0...
Let x be a discrete random variable with the following probability distribution x: -1 , 0 , 1, 2 P(x) 0.3 , 0.2 , 0.15 , 0.35 Find the mean and the standard deviation of x
If X is a random variable with a probability distribution that is given in the following...
If X is a random variable with a probability distribution that is given in the following table where a and b are unknown constants. X -1 0 a 3 b P(X = x) 0.1 0.15a 0.2 0.03b 0.4 (a) Find a and b such that E(5 + 100X) = 260. (b) Find the variance of X.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT