A shop receives a batch of 1000 cheap lamps. The odds that a lamp is defective are 0.1%. Let X be the number of defective lamps in the batch. 1) What kind of distribution does X have? What is/are the value(s) of pa- rameter(s) of this distribution? 2) What is the probability that the batch contains no defective lamps? One defective lamp? More than two defective ones?

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A shop receives a batch of 1000 cheap lamps. The odds that a lamp is defective
are 0.1%. Let X be the number of defective lamps in the batch.
1) What kind of distribution does X have? What is/are the value(s) of pa-
rameter(s) of this distribution?
2) What is the probability that the batch contains no defective lamps? One
defective lamp? More than two defective ones?
Transcribed Image Text:A shop receives a batch of 1000 cheap lamps. The odds that a lamp is defective are 0.1%. Let X be the number of defective lamps in the batch. 1) What kind of distribution does X have? What is/are the value(s) of pa- rameter(s) of this distribution? 2) What is the probability that the batch contains no defective lamps? One defective lamp? More than two defective ones?
Expert Solution
Step 1

Given information:

Number of cheap lamps n=1000

Percentage of odds that a lamp is defective is,

p=0.1%=0.001

X is the number of defective lamps in the batch.

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