Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
jenxin
Group Title
Probability, Where do I start??
A production line yields two types of devices:
Type1 devices occur with probability p1 and work for an average time T1,
Type2 devices occur with probability p2 and work for an average time T2,
such that p1+p2=1 and T2>T1.
The time a device works is modeled as a geometrical distribution.
Let X be the time a device chosen uniformly at random works.
Find the distribution of X.
 2 years ago
 2 years ago
jenxin Group Title
Probability, Where do I start?? A production line yields two types of devices: Type1 devices occur with probability p1 and work for an average time T1, Type2 devices occur with probability p2 and work for an average time T2, such that p1+p2=1 and T2>T1. The time a device works is modeled as a geometrical distribution. Let X be the time a device chosen uniformly at random works. Find the distribution of X.
 2 years ago
 2 years ago

This Question is Closed

jenxin Group TitleBest ResponseYou've already chosen the best response.0
So, I think to find the probability P for the geometric distribution, I need to solve for E[X], which is equal to p1*E[XT1] + p2*E[XT2] ... and it should be equal to 1/p, so the probability p is equal to 1/(p1*E[XT1] + p2*E[XT2]) and I just plug that in to the geometric form equation? So I get \[P_X(X) = 1/(p_1*E[XT_1] + p_2*E[XT_2]) * (1 1/(p_1*E[XT_1] + p_2*E[XT_2]))^(x1)\]
 2 years ago

AbhimanyuPudi Group TitleBest ResponseYou've already chosen the best response.0
This looks complex..which grade are you studying? I had probability when I was in 12th grade..seems like I need to take a look
 2 years ago

jenxin Group TitleBest ResponseYou've already chosen the best response.0
i'm a junior in college. this is probability for engineers.
 2 years ago

AbhimanyuPudi Group TitleBest ResponseYou've already chosen the best response.0
whoa..I didn't attend college yet..I took a gap year. So, I guess I can't solve this
 2 years ago
See more questions >>>
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.