SOLUTION: Your firm has 6 different manufacturing lines that each produce the same type of widget. There is a 93 percent chance that each line is functional on any given day. Assuming a Bern

Question 1016962: Your firm has 6 different manufacturing lines that each produce the same type of widget. There is a 93 percent chance that each line is functional on any given day. Assuming a Bernoulli process what is the probability of all six manufacturing lines working on any given day?
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!

Question:
Your firm has 6 different manufacturing lines that each produce the same type of widget. There is a 93 percent chance that each line is functional on any given day. Assuming a Bernoulli process what is the probability of all six manufacturing lines working on any given day?

Solution:
The conditions satisfy the binomial distribution
P(N)=C(N,x)*p^x*(1-p)*(N-x)
N=number of trials, 6
x=number of successes, 6
p=probability of success in each trial, 0.93

So
P(6)=C(6,6)*0.93^6*0.07^0
=1*0.93^6*1
=0.647 (approximately)

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