A community for students.
Here's the question you clicked on:
 0 viewing
schmidtdancer
 3 years ago
Consider a uniform distribution created by a random number generator. The distribution looks like a square with a length of 1 and a height of 1. The random number generator creates any number between 0 and 1. Find the following probabilities:
a) P(0 <= X <= 0.4)
b) P(0.4 <= X <= 1)
c) P(X > 0.6)
d) P(X <= 0.6)
e) P(0.23 <= X <= 0.76)
schmidtdancer
 3 years ago
Consider a uniform distribution created by a random number generator. The distribution looks like a square with a length of 1 and a height of 1. The random number generator creates any number between 0 and 1. Find the following probabilities: a) P(0 <= X <= 0.4) b) P(0.4 <= X <= 1) c) P(X > 0.6) d) P(X <= 0.6) e) P(0.23 <= X <= 0.76)

This Question is Closed

schmidtdancer
 3 years ago
Best ResponseYou've already chosen the best response.0@ParthKohli @hba ??

schmidtdancer
 3 years ago
Best ResponseYou've already chosen the best response.0(a) I know a is 0.4

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1358086275602:dw Here's how you get it.

schmidtdancer
 3 years ago
Best ResponseYou've already chosen the best response.0ok so a would then be 0.4?

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.1Yes, as you said. Remember the area under a probability distribution always add up to 1.0.

schmidtdancer
 3 years ago
Best ResponseYou've already chosen the best response.0Ok! how do i find b?

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.1Probability(a<X<b)=area between the vertical lines a and b.

schmidtdancer
 3 years ago
Best ResponseYou've already chosen the best response.0Ok! would d be .4 too then

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.1Can you repeat for d? Draw the diagram and check.

schmidtdancer
 3 years ago
Best ResponseYou've already chosen the best response.0x is less then or eqaual to .6.....

schmidtdancer
 3 years ago
Best ResponseYou've already chosen the best response.0im not sure how to find this probability?

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.1The figure is similar to the one I drew, but the vertical line is at 0.6.

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.1X varies from 0 to 1, so X<0.6 means from 0 to 0.6

schmidtdancer
 3 years ago
Best ResponseYou've already chosen the best response.0thats 60 % of the diagram

schmidtdancer
 3 years ago
Best ResponseYou've already chosen the best response.0ok so d is .6? :)

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.1You do realize that we are dealing with a square of 1x1. So 0<X< 0.6 means simply 60% of the square. Sometimes, and most of the time, the distribution is not a straight line (uniform), the calculation may not be as easy. Such as this: dw:1358087084888:dw You're doing great with this particular case. ALSO NOTICE that we did not care between <= (less than or equal) and < less than. It is because P(x=0.6) is zero, because it is almost impossible for X to be exactly 0.6. Finally, for (e), you got it right again, congratulations!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.