SOLUTION: The probability that a bolt is defective is 0.2%. Bolts are packed in boxes of 500. Two boxes are picked at random from the production line. Find the probability that one has two d

Question 1183559: The probability that a bolt is defective is 0.2%. Bolts are packed in boxes of 500. Two boxes are picked at random from the production line. Find the probability that one has two defective bolts and the other has one defective bolts.
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.
The probability that a bolt is defective is 0.2%. Bolts are packed in boxes of 500.
Two boxes are picked at random from the production line. Find the probability that
one has two defective bolts and the other has one defective bolts.
~~~~~~~~~~~~~~~


    P =  + 


The probabilities    and    are the binomial distribution probabilities


     =  = 0.368248.


     =  = 0.184124.


    P = 0.368248*0.184124 + 0.184124*0.368248 = 0.135607.    ANSWER

Solved.

RELATED QUESTIONS
The probability that a bolt is defective is 0.2%. Bolts are packed in boxes of 500. Use... (answered by ewatrrr)

4. Suppose that 7% of the bolts produced by a machine are defective. If 10 bolts are... (answered by Fombitz,stanbon)

The probability that an article selected at random from a particular production line is... (answered by robertb)

In a bolt factory, machines A, B and C 25%,35% and 40% of total outputs respectively. Of... (answered by greenestamps)

Three bolts and three nuts are in a box. Two parts are chosen at random. Find the... (answered by ikleyn)

in a manufacturing process, it is estimated that only 2% of the bolts that are machined... (answered by Boreal)

The probability of a bolt being faulty is 0.3. Find the probability that in a random... (answered by Edwin McCravy)

a bag contain 10 bolt in which 3 are defected, two bolt drawn at random with... (answered by Fombitz)

Batteries for torch lights are packed in boxes of 10 and a lot contains 10 boxes. A... (answered by stanbon)