Question

Suppose that 5% of microchips produced by A company are defective. An investigator is going to...

Suppose that 5% of microchips produced by A company are defective. An investigator is going to examine a sample of 200 microchips.

(a) Find the probability that the investigator finds at most 10 defective microchips from his sample based on Binomial distribution.

(b) Find the probability that the investigator finds at most 10 defective microchips from his sample based on Normal approximation without continuity correction.

(c) Find the probability that the investigator finds at most 10 defective microchips from his sample based on Normal approximation wit continuity correction.

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
Ceramics in a factory are manufactured in lots of 200 and 3% are defective. Assume the...
Ceramics in a factory are manufactured in lots of 200 and 3% are defective. Assume the pieces are independent. Use the normal approximation to the binomial with the continuity correction to find the probability more than 10 are defective. 0.031 (Correct) And, use the normal approximation to the binomial with the continuity correction to find the probability there are between 4 and 8 defects, inclusive. 0.5832 (incorrect) I try the second question but my answer is in correct.
Suppose Y is a random variable that follows a binomial distribution with n = 25 and...
Suppose Y is a random variable that follows a binomial distribution with n = 25 and π = 0.4. (a) Compute the exact binomial probability P(8 < Y < 14) and the normal approximation to this probability without using a continuity correction. Comment on the accuracy of this approximation. (b) Apply a continuity correction to the approximation in part (a). Comment on whether this seemed to improve the approximation.
suppose 2% of items produced from as assembly line are defective if we sample 10 items...
suppose 2% of items produced from as assembly line are defective if we sample 10 items what is the probability that 2 or more are defective ?here count follows the binomial distribution. suppose now that we sample 10 items from a small collection like 20 items and count the number of defectives. resulting random variable is not binomial .why not?
Two percent of hairdryers produced in a certain plant are defective. Estimate the probability that of...
Two percent of hairdryers produced in a certain plant are defective. Estimate the probability that of 10,000 randomly selected hair dryers, exactly 225 are defective. (Hint: use the normal distribution as an approximation to the binomial distribution).
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?
Question 1: Suppose that of 6,000 electrical fuses, 5% are defective. Also, suppose that a random...
Question 1: Suppose that of 6,000 electrical fuses, 5% are defective. Also, suppose that a random sample of 10 fuses is selected and consider the random variable X representing the number of defective fuses in the sample. (a) Explain why a binomial distribution is appropriate. (b) What is the probability that at least one of the fuses is defective? (c) What is the probability that fewer than 3 fuses are defective? Question 2: Refer to the setup in Question 1....
2.A researcher believes that about 70% of the seeds planted with the aid of a new...
2.A researcher believes that about 70% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 140 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that more than 97 of the 140 seeds will germinate. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round...
Find the probability of more than 30 heads in 50 flips of a fair coin by...
Find the probability of more than 30 heads in 50 flips of a fair coin by using the normal approximation to the binomial distribution. a) Check the possibility to meet the requirements to use normal approximation (show your calculation) b) Find the normal parameters of the mean(Mu) and standard deviation from the binomial distribution. c) Apply normal approximation by using P(X>30.5) with continuity correction and find the probability from the table of standard normal distribution.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT