Question

It is known that 0.5% of the circuit boards from a production line are defective. If...

It is known that 0.5% of the circuit boards from a production line are defective. If a random sample of 300 circuit boards is taken from this production line, use Poisson approximation to estimate the probability that the sample contains:

a) At most 2 defective boards,

b) at least 3 defective boards

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
It is known that 0.5% of the circuit boards from a production line are defective. If...
It is known that 0.5% of the circuit boards from a production line are defective. If a random sample of 300 circuit boards is taken from this production line, use Poisson approximation to estimate the probability that the sample contains: a) At most 2 defective boards, b) at least 3 defective boards.
Q.A manufacturer produces large quantities of colored mugs. It is known from previous records that 6%...
Q.A manufacturer produces large quantities of colored mugs. It is known from previous records that 6% of the production will be green. A random sample of 10 mugs was taken from the production line. 1.Define a suitable distribution to model the number of green mugs in this sample. 2.Find the probability that there were exactly 3 green mugs in the sample. 3.A random sample of 125 mugs was taken. Find the probability that there were between 10 and 13 (inclusive)...
A company knows from experience that 0.3% of the electronic parts it produces are defective. Use...
A company knows from experience that 0.3% of the electronic parts it produces are defective. Use a Poisson distribution to find the probability that a shipment of 990 parts will have at least 3 defective electronic parts. a.) For this example, the Poisson distribution is a _________(good, excellent) approximation for the binomial distribution. Show why. b.) The probability is ____________ that this shipment will contain at most 3 defective electronic parts.
The Chime Company manufactures circuit boards for use on electric clocks. Much of the soldering work...
The Chime Company manufactures circuit boards for use on electric clocks. Much of the soldering work on the circuit boards is performed by hand and there are a proportion of the boards that during the final testing are found to be defective. Historical data indicates that of the defective boards, 60% can be corrected by redoing the soldering. The distribution of defective boards follows a binomial distribution. Directions: Round up to 3 digits after the decimal point. You may use...
Production records indicate that 3.2​% of the light bulbs produced in a facility are defective. A...
Production records indicate that 3.2​% of the light bulbs produced in a facility are defective. A random sample of 25 light bulbs was selected. a. Use the binomial distribution to determine the probability that fewer than three defective bulbs are found. b. Use the Poisson approximation to the binomial distribution to determine the probability that fewer than three defective bulbs are found. c. How do these two probabilities​ compare?
Production records indicate that 2.1​% of the light bulbs produced in a facility are defective. A...
Production records indicate that 2.1​% of the light bulbs produced in a facility are defective. A random sample of 35 light bulbs was selected. a. Use the binomial distribution to determine the probability that fewer than three defective bulbs are found. b. Use the Poisson approximation to the binomial distribution to determine the probability that fewer than three defective bulbs are found. c. How do these two probabilities​ compare?
Production records indicate that 2.1​% of the light bulbs produced in a facility are defective. A...
Production records indicate that 2.1​% of the light bulbs produced in a facility are defective. A random sample of 35 light bulbs was selected. a. Use the binomial distribution to determine the probability that fewer than three defective bulbs are found. b. Use the Poisson approximation to the binomial distribution to determine the probability that fewer than three defective bulbs are found. c. How do these two probabilities​ compare?
In proof testing of circuit boards, the probability that any particular diode will fail is 0.01....
In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contains 170 diodes. (a) How many diodes would you expect to fail? What is the standard deviation of the number that are expected to fail? (b) What is the (approximate) probability that at least four diodes will fail on a randomly selected board? (Use binomial approximation.) (c) If five boards are shipped to a particular customer, how likely is it...
In proof testing of circuit boards, the probability that a particular diode will fail is 0.015....
In proof testing of circuit boards, the probability that a particular diode will fail is 0.015. Suppose a circuit board contains 180 diodes. a) Consider the random variable “number of diodes that fail out of 180 diodes”. State the original distribution and the approximating distribution along with the parameters. Also, justify why we can use the approximating distribution. b) Using the approximating distribution, find the probability that exactly 3 diodes will fail. c) Using the approximating distribution, find the probability...
A truck loaded with 8000 electronic circuit boards has just pulled into a firm’s receiving dock....
A truck loaded with 8000 electronic circuit boards has just pulled into a firm’s receiving dock. The supplier claims that no more than 3% of the boards fall outside the most rigid level of industry performance specifications. In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence limit of the 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification.A truck loaded with...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT