- #1
dch
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Homework Statement
A manufacturing process produces 92% good chips (G) and 8% bad chips (B).
The lifetime, in seconds, of chips is exponentially distributed [tex]E(\lambda)[/tex].
For good chips, [tex]\lambda1=1/20000[/tex] For bad chips,[tex]\lambda2=1/1000[/tex]
Every chip is tested for 50 seconds prior to leaving the factory. The only chips that pass the test will be sent out to customers (S).
Homework Equations
a. Find the probability that a good chip will be sent out to customers.
Find the probability that a bad chip will be sent out to customers.
b. Evaluate the percentage of good chips among a great lot of chips that will be sent out to customers.
The Attempt at a Solution
a.
I used this equation to solve :
[tex]P(X>50)=1-P(X<=50)=1-(1-e^{-\lambda*50})[/tex]
So P1(X>50)=0.9975
P2(X>50)= 0.9512
Am I right? Question b I don't know how to solve please suggest me asap. Tomorrow I will have the final test.
Many thanks.