Home » Posts tagged 'probability expected value example solutions'

Tag Archives: probability expected value example solutions

Categories




Expected Value problems

Expected Value example question

A box contains 8 green and 4 blue marbles. Two marbles are selected at once without replacement. What is the expected number of green marbles among the selected ones?

a)  1

b) 

c) 

d) 

e) 

f)  none of the above

 

Solution to this Expected Value practice problem is given in the video below!



Expected Value example problem #2

You have 5 pairs of shoes. Four of them are worth $30 each, while the fifth is worth $2,000. You select a pair at random. What is the expected value of the pair you have selected?

a)  $424

b)  $30

c)  $50.20

d)  $432

e)  $1,030

f)  none of the above

 

Solution to this Expected Value practice problem is given in the video below!



Binomial Distribution Expectation example

A sample of 3 items is selected at random from a box containing 20 items of which 4 are defective. Find the expected number of defective items in the sample.

 

Solution to this Binomial Random Variable Expected Value practice problem is given in the video below!



Hypergeometric Distribution Expectation example question

A ball is chosen at random from each of 5 urns. Each urn contains balls as follows:

urn 1: 1 white, 5 black

urn 2: 3 white, 3 black

urn 3: 6 white, 4 black

urn 4: 2 white, 6 black

urn 5: 3 white, 7 black

Compute the expected number of white balls selected.

 

Solution to this Hypergeometric Random Variable Expected Value practice problem is given in the video below!



Continuous Distribution Expected Value example problem

The density function of X is given by

f(x) = {

0 otherwise

If E[X] = , find the values of constants and  .

 

Solution to this Continuous Random Variable Expected Value practice problem is given in the video below!



Independent & Identically Distributed UNIFORM Random Variables Expected Value example

If X1, X2, …, Xn are independent and identically distributed random variables having uniform distributions over (0,1),

find

E [max(X1, …, Xn)]

and

E [min(X1, …,Xn)]

 

Solution to this Uniform Random Variable Expected Value practice problem is given in the video below!






May 2024
S M T W T F S
 1234
567891011
12131415161718
19202122232425
262728293031  

MathCabin.com 2019-2024 © All Rights Reserved.