SOLUTION: A company manufactures calculators in batches of 64. Four out of every 100 calculators are defective.
(a) Define the random variable for this situation and list its values.
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-> SOLUTION: A company manufactures calculators in batches of 64. Four out of every 100 calculators are defective.
(a) Define the random variable for this situation and list its values.
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You can put this solution on YOUR website! A company manufactures calculators in batches of 64. Four out of every 100 calculators are defective.
(a) Define the random variable for this situation and list its values.
# of defective in a batch.
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(b) What in your view is an appropriate probability distribution of this variable? State the conditions that influenced your choice.
Ans: Binomial Distribution. independence; constant p-value for each trial;
2 possible outcomes.
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(c) Find the probability of getting exactly 3 defects in a batch.
Ans: 64C3(0.04)^3(0.96)^61 = binompdf(64,0.04,3) = 0.2210
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(d) Find the probability of getting at least 3 defectives in a batch.
Ans: P(3<= x <=64) = 1 - P(0<= x <=2) = 0.4744
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Cheers,
Stan H.
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