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Simple Probability

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A factory finds,on average, 20% of the widgets produced by a given machine will be defective for certain specified requirements. If 10 widgets are selected at random from the day's production of this machine, find the probability:

a.) That exactly 2 will be defective
b.) That 2 or more will be defective
c.) That more than 5 will be defective

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Probability of defective item = p = 0.2
Probability of non defective = q = 1 - 0.2 = 0.8

Probability of exactly two defective widgets,
P= (10C2)*p^2*q^8
=>P = (10*9/2)*(0.2)^2 * (0.8)^8
=> P= 0.301989888
=> P== 0.302 --Answer

Probability of 2 ...

Solution provided by:
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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