SOLUTION: if manufacture of 5 cm screws , the screw is rejected if the diameter of the screw is outside 0.05% of the designed value .in long run, 1 in every 100 screw is found to be defectiv

Question 341788: if manufacture of 5 cm screws , the screw is rejected if the diameter of the screw is outside 0.05% of the designed value .in long run, 1 in every 100 screw is found to be defective . if a test sample of 10 screws is taken , find the probabilities of ;
a- no defective
b- not more than one defective
c- at least one difective
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
(a+b)^10=a^10+10a^9b+... Let a=.99 and b=.01
We don't need to go any farther with the expansion for this problem.
a) .99^10=.9043 None defective.
c) 1-.9043=.0956 at least one defective.
b)
10*0.99^9*0.01=.0914 exactly one defective.
.9043+.0914=.9957 not more than 1 defective
.
Ed
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