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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.
 one year ago
 one year 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.
 one year ago
 one year ago

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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 \[P_X(X) = 1/(p_1*E[XT_1] + p_2*E[XT_2]) * (1 1/(p_1*E[XT_1] + p_2*E[XT_2]))^(x1)\]
 one year 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
 one year ago

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