A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four of these units, and because all are packaged ident

Dillard

Dillard

Answered question

2020-12-27

A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four of these units, and because all are packaged identically, the selection will be random. What is the probability that:
a) All four units are good?
b) Exactly two units are good?
c) At least two units are good?

Answer & Explanation

Khribechy

Khribechy

Skilled2020-12-28Added 100 answers

Given that there are 12 microwave ovens i.e., n=12
in that 3 are deffective
then number of good units =9
The probability of good unit is =912
=0.75
A vending company has ordered four ofthese units then the probability that: all four units are good is
P[X=4]=(94)(124)
Probability of exactly two are good is
P[X=2]=(92)(124)
Probability of at least two are good is
P[x2]=P[X=2]+P[X=3]+P[X=4]
=(92)(124)+(93)(124)+(94)(124)
Solve the above we get the required answer

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