Question

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.

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

Homework Answers

Answer #1

Given Probability distribution of X is:

X P(X=x)

20 0.15

30 0.15

40 0.30

50 0.40

The expectation of X is given by:

The variance of X is given b y:

i.e

The variance of X is  

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 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=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 .
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...
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
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]?
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).]
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 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).
Consider the following random discrete distribution. x x(P) 24 0.25 30 0.15 49 0.30 58 0.10...
Consider the following random discrete distribution. x x(P) 24 0.25 30 0.15 49 0.30 58 0.10 60 0.20 Calculate the mean or the expected value of X Calculate the variance and the standard deviation of the random variable
Let X be a continuous random variable with probability density function (pdf) ?(?) = ??^3, 0...
Let X be a continuous random variable with probability density function (pdf) ?(?) = ??^3, 0 < ? < 2. (a) Find the constant c. (b) Find the cumulative distribution function (CDF) of X. (c) Find P(X < 0.5), and P(X > 1.0). (d) Find E(X), Var(X) and E(X5 ).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT