27.3% of parts coming off an assembly line don't pass inspection (I know... not a great factory..). Your job is to monitor this assembly line.
a) In a batch of 40 parts, what is the probability that 10 will fail inspection?
b) In a crate of 40 parts, how many parts should you expect to fail inspection? (Keep your answer as a decimal.)
c) In a batch of 50 parts, what is the probability that more than 13 will fail inspection?
d) In a batch of 50 parts, what is the probability that between 11 and 15 (inclusive) will fail inspection?
e) As parts come off the assembly line at startup, what is the probability that the first to fail inspection will be part number 5?
f) As parts come off the assembly line at startup, how many good parts do you expect to see before the first failure? (Keep your answer as a decimal.)
