SOLUTION: Assume fluorescent lamps made by a manufacturer have a probability of 0.05 of being inoperable when new. A person purchases 8 of the lamps for home use.
a) What is the probabili
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Question 334850: Assume fluorescent lamps made by a manufacturer have a probability of 0.05 of being inoperable when new. A person purchases 8 of the lamps for home use.
a) What is the probability that exactly one lamp is inoperable of the eight?
b) What is the probability that all eight lamps are functional?
c) Determine the probability that one ormore lamps are not operable?
d) Plot the probability that one or more lamps are not operable.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Assume fluorescent lamps made by a manufacturer have a
probability of 0.05 of being inoperable when new.
probability of 0.95 of being operable when new.
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A person purchases 8 of the lamps for home use.
a) What is the probability that exactly one lamp is inoperable of the eight?
P(x = 1) = 8C1*(0.05)*(0.95)^7 = 0.2793
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b) What is the probability that all eight lamps are functional?
P(x = 0) = 8C0*(0.05)^0*(0.95)^8 = 0.95^8 = 0.6634
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c) Determine the probability that one or more lamps are not operable?
P(1<= not operable <=8) = 1-P(x=0 not operable) = 1-0.6634 = 0.3366
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d) Plot the probability that one or more lamps are not operable.
That is the same question as "c".
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Cheers,
Stan H.
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