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
1. Given a discrete random variable, X , where the discrete probability distribution for X is...
1. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate E(X) X P(X) 0 0.1 1 0.1 2 0.1 3 0.4 4 0.1 5 0.2 2. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate the variance of X X P(X) 0 0.1 1 0.1 2 0.1 3 0.4 4 0.1 5 0.2 3. Given a discrete random variable, X...
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, ... , 9. Find the value of the cdf (cumulative distribution function) F(x) for 7 ≤ x < 8.
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...
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X>4), n=7, p=0.4 Find the standard deviation of the following data. Round your answer to one decimal place. x 1 2 3 4 5 6 P(X=x) 0.1 0.1 0.2 0.1 0.2 0.3
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
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT