4.53 The number of defective circuit boards coming off a soldering machine follows a Poisson distribution. During a specific eight-hour day, one defective circuit board was found. a. Find the probability that it was produced during the first hour of operation during that day. b. Find the probability that it was produced during the last hour of operation during that day. c. Given that no defective circuit boards were produced during the first four hours of operation, find the probability that the defective board was manufactured during the fifth hour.
4.53 The number of defective circuit boards coming off a soldering machine follows a Poisson distribution. During a specific eight-hour day, one defective circuit board was found. a. Find the probability that it was produced during the first hour of operation during that day. b. Find the probability that it was produced during the last hour of operation during that day. c. Given that no defective circuit boards were produced during the first four hours of operation, find the probability that the defective board was manufactured during the fifth hour.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:4.53 The number of defective circuit boards coming off a soldering machine
follows a Poisson distribution. During a specific eight-hour day, one defective
circuit board was found.
a. Find the probability that it was produced during the first hour of operation
during that day.
b. Find the probability that it was produced during the last hour of operation
during that day.
c. Given that no defective circuit boards were produced during the first four hours
of operation, find the probability that the defective board was manufactured
during the fifth hour.
The proportion of time per day that all checkout counters in a supermarket are busy is a random
variable Y with density function
cy²(1 – y)*, 0sysI,
lo,
f(ý) =
elsewhere.
a Find the value of c that makes f(y) a probability density function.
b Find E(Y).
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