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When a particular machine is functioning properly, 75% of the items produced are non-defective.  If eight...

When a particular machine is functioning properly, 75% of the items produced are non-defective. 

If eight items are examined, what is the probability that one is defective? 


If eight items are examined, what is the probability that exactly three are non-defective?


If eight items are examined, what is the probability that at least 6 are non-defective?


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Answer #1

a) P(x = 1)

BINOM.DIST(1,8,0.25,FALSE)

= 0.2670

b) P(x = 3)

BINOM.DIST(3,8,0.75,FALSE)

= 0.0231

c) P(x >=6)

= 1-BINOM.DIST(5,8,0.75,TRUE)

= 0.6785

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