A manufacturer ships toasters in cartons of 20. In each carton, they estimate a 10% chance...
A manufacturer ships toasters in cartons of 20. In each carton, they estimate a 10% chance that any one of the toasters will need to be sent back for minor repairs. What is the probability that in a carton, there will be exactly 2 toasters that need repair?
The probability of exactly 2 toasters needing repair is _____
Homework Answers
solution:
Given that ,
p = 10%=0.10
1 - p = 1 - 0.10 = 0.9
n =20
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X =2 ) = (20 C 2) * 0.102 * (0.9) 20- 2
probability =0.2852
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