SOLUTION: The probability that a bolt is defective is 0.2%. Bolts are packed in boxes of 500. Use the information to answer the questions below. a) Find the probability that in a randomly

Algebra ->  Probability-and-statistics -> SOLUTION: The probability that a bolt is defective is 0.2%. Bolts are packed in boxes of 500. Use the information to answer the questions below. a) Find the probability that in a randomly       Log On


   



Question 1175878: The probability that a bolt is defective is 0.2%. Bolts are packed in boxes
of 500. Use the information to answer the questions below.
a) Find the probability that in a randomly chosen box, there are two
defective bolts.
b) Find the probability that in a randomly chosen box, there more than three
defective bolts

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Binomial Distribution:  p = .002
n = 500
P(x = 2) = binompdf(500, .002,2) = .1841

P(x ≥ 3) = 1 - P( x ≤ 2) = 1 - binomcdf(500, .002, 2) = 1 - .9199 = .0801

Whether one use an Excel function or hand held calculator,
Important to feel comfortable with the result. 
Stattrek.com a reliable source to check one's work.  
Wish You the Best in your Studies.