SOLUTION: The probability of a bolt being faulty is 0.3. Find the probability that in a random sample of 20 bolts there are a) exactly 2 faulty bolts b) more than 3 faulty bolts these

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Question 1161232: The probability of a bolt being faulty is 0.3. Find the probability that in a random sample of 20 bolts there are
a) exactly 2 faulty bolts
b) more than 3 faulty bolts
these bolts are sold in bags of 20, Sam buys 10 bags
c) find the probability that exactly 6 of these bags contain more than 3 faulty bolts.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
The probability of a bolt being faulty is 0.3. Find the probability that in a random sample of 20 bolts there are
a) exactly 2 faulty bolts

Under 2nd VARS on a TI-84,

binompdf(20,0.3,2)

0.0278458725
b) more than 3 faulty bolts

1 - P(less that or equal 3)

Under 2nd VARS on a TI-84,

1 - binomcdf(20,0.3,3)

1 - 0.1070868045

0.8929131955
these bolts are sold in bags of 20, Sam buys 10 bags
c) find the probability that exactly 6 of these bags contain more than 3
faulty bolts.

The probability that 1 bag has more than 3 faulty bolts is 0.8929131955.

binompdf(10,0.8929131955,6)

0.0139964719

Edwin
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