Question

Let X be a random variable with the following probability distribution: Value x of X P=Xx...

Let X be a random variable with the following probability distribution: Value x of X P=Xx 1 0.15 2 0.55 3 0.05 4 0.15 5 0.10 Find the expectation EX and variance Var X of X .

Homework Answers

Answer #1

The probability distribution of X is:

The expected value of X is given by:

The variance of X is given by:

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X be a random variable with the following probability distribution: Value x of X P(X=x)  ...
Let X be a random variable with the following probability distribution: Value x of X P(X=x)   4   0.05 5   0.30 6   0.55 7   0.10 Find the expectation E (X) and variance Var (X) of X. (If necessary, consult a list of formulas.) E (x) = ? Var (X) = ?
Let X be a random variable with the following probability distribution: Value x of X P(X=x)...
Let X be a random variable with the following probability distribution: Value x of X P(X=x) 20 0.15 30 0.15 40 0.30 50 0.40 Find the expectation E(X) and variance Var (X) of 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...
Problem 3. Let x be a discrete random variable with the probability distribution given in the...
Problem 3. Let x be a discrete random variable with the probability distribution given in the following table: x = 50 100 150 200 250 300 350 p(x) = 0.05 0.10 0.25 0.15 0.15 0.20 0.10 (i) Find µ, σ 2 , and σ. (ii) Construct a probability histogram for p(x). (iii) What is the probability that x will fall in the interval [µ − σ, µ + σ]?
Consider a random variable X with the following probability distribution: P(X=0) = 0.08, P(X=1) = 0.22,...
Consider a random variable X with the following probability distribution: P(X=0) = 0.08, P(X=1) = 0.22, P(X=2) = 0.25, P(X=3) = 0.25, P(X=4) = 0.15, P(X=5) = 0.05 Find the expected value of X and the standard deviation of X.
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
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).]
Given a random variable XX following normal distribution with mean of -3 and standard deviation of...
Given a random variable XX following normal distribution with mean of -3 and standard deviation of 4. Then random variable Y=0.4X+5Y=0.4X+5 is also normal. (1)(2pts) Find the distribution of YY, i.e. μY,σY.μY,σY. (2)(3pts) Find the probabilities P(−4<X<0),P(−1<Y<0).P(−4<X<0),P(−1<Y<0). (3)(3pts) Find the probabilities P(−4<X¯<0),P(3<Y¯<4).P(−4<X¯<0),P(3<Y¯<4). (4)(4pts) Find the 53th percentile of the distribution of XX.
A random variable x has the following probability distribution. Determine the standard deviation of x. x...
A random variable x has the following probability distribution. Determine the standard deviation of x. x f(x) 0 0.05 1 0.1 2 0.3 3 0.2 4 0.35 A random variable x has the following probability distribution. Determine the expected value of x. x f(x) 0 0.11 1 0.04 2 0.3 3 0.2 4 0.35 QUESTION 2 A random variable x has the following probability distribution. Determine the variance of x. x f(x) 0 0.02 1 0.13 2 0.3 3 0.2...
Suppose that the random variable X has the following cumulative probability distribution X: 0 1. 2....
Suppose that the random variable X has the following cumulative probability distribution X: 0 1. 2. 3. 4 F(X): 0.1 0.29. 0.49. 0.8. 1.0 Part 1:  Find P open parentheses 1 less or equal than x less or equal than 2 close parentheses Part 2: Determine the density function f(x). Part 3: Find E(X). Part 4: Find Var(X). Part 5: Suppose Y = 2X - 3,  for all of X, determine E(Y) and Var(Y)