Question

Let X be a discrete random variable with the range RX = {1, 2, 3, 4}....

Let X be a discrete random variable with the range RX = {1, 2, 3, 4}. Let PX(1) = 0.25, PX(2) = 0.125, PX(3) = 0.125.

a) Compute PX(4).

b) Find the CDF of X.

c) Compute the probability that X is greater than 1 but less than or equal to 3.

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

Homework Answers

Answer #1

a) It is known that

b) The cumulative density function of X is

c) The probability that X is greater than 1 but less than or equal to 3

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
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...
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).]
The range of a discrete random variable X is {−1, 0, 1}. Let MX (t) be...
The range of a discrete random variable X is {−1, 0, 1}. Let MX (t) be the moment generating function of X, and let MX(1) = MX(2) = 0.5. Find the third moment of X, E(X^3).
The range of a discrete random variable X is {−1, 0, 1}. Let MX(t) be the...
The range of a discrete random variable X is {−1, 0, 1}. Let MX(t) be the moment generating function of X, and let MX(1) = MX(2) = 0.5. Find the third moment of X, E(X^3 )
The following table lists the probability distribution of a discrete random variable x: x = 0,1,2,3,4,5,6,7...
The following table lists the probability distribution of a discrete random variable x: x = 0,1,2,3,4,5,6,7 P(x) = 0.04, 0.11, 0.18, 0.22, 0.12, 0.21, 0.09, 0.03 a. The probability that x is less then 5: b. The probability that x is greater then 3: c. The probability that x is less than or equal ti 5: d. The probability that x is greater than or equal to 4: e. The probability that x assumes a value from 2 to 5:...
X in a discrete uniform(2,4) random variable and given X, W is a discrete uniform (-x...
X in a discrete uniform(2,4) random variable and given X, W is a discrete uniform (-x , x) random variable. Find PX,W(x, w) and calculate it at x=2. A. 1/27 B. 1/9 C. 1/21 D. 1/15
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
3. Let X be a continuous random variable with PDF fX(x) = c / x^1/2, 0...
3. Let X be a continuous random variable with PDF fX(x) = c / x^1/2, 0 < x < 1. (a) Find the value of c such that fX(x) is indeed a PDF. Is this PDF bounded? (b) Determine and sketch the graph of the CDF of X. (c) Compute each of the following: (i) P(X > 0.5). (ii) P(X = 0). (ii) The median of X. (ii) The mean of X.
Let the random variable X have pdf f(x) = x^2/18; -3 < x < 3 and...
Let the random variable X have pdf f(x) = x^2/18; -3 < x < 3 and zero otherwise. a) Find the pdf of Y= X^2 b) Find the CDF of Y= X^2 c) Find P(Y<1.9)
Let X be a discrete random variable with values 1,2,3,4,5 and corresponding proba- bilities 1/7, 1/14,...
Let X be a discrete random variable with values 1,2,3,4,5 and corresponding proba- bilities 1/7, 1/14, 3/14, 2/7, 2/7. a) Compute E(X) b) compute E[|X − 2|].
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT