Question

An electronics manufacturer finds that 98% of the processors they produce are acceptable. The quality control...

An electronics manufacturer finds that 98% of the processors they produce are acceptable. The quality control department will test the next batch of 10000 processors.

What is the approximate probability that the number of unacceptable processors in this batch is

between 190 and 220? Use the standard normal distribution to approximate this probability,

and justify your use of this approximation.

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

Homework Answers

Answer #1

Let X denote the number of unacceptable processors in the batch. Then

So,

Since the batch size is large, using Normal approximation, we have,

Required probability =

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
In a shipment of 300 processors, there are 12 defective processors. A quality control consultant randomly...
In a shipment of 300 processors, there are 12 defective processors. A quality control consultant randomly collects 6 processors for inspection to determine whether they are defective. Use the Hypergeometric approximation to calculate the following: a) The probability that there are exactly 2 defectives in the sample b) The probability that there are at most 5 defectives in the sample, P(X<=5). ## Question 5 Write a script in R to compute the following probabilities of a normal random variable with...
an electronics company finishes a production run of 5000 tablet computers, which includes 900 defective units....
an electronics company finishes a production run of 5000 tablet computers, which includes 900 defective units. To test this batch for defects, a random sample of 100 tablets is drawn (without replacement) and tested. Let X be the random variable that counts the number of defective units among the sample. a. find the expected (mean) value, variance, and standard deviation of X b. the probability distribution of X can be approximated with a binomial distribution. Why?   c. Use the binomial...
The probability that a current generation iPhone has a particular flaw is 0.07. A quality control...
The probability that a current generation iPhone has a particular flaw is 0.07. A quality control group randomly selects 900 iPhones and checks them for this flaw. Use the Normal Approximation to the Binomial Distribution to estimate the probability that the number of iPhones with the flaw in the sample is at most 59. Round your z-score to 2 decimal places. Round your answer to 3 decimal places. Do not forget the .5 continuity correction. Hint: The mean is 63...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities where tires were made and another 20 facilities for various components and materials used in tires. Each manufacturing facility produced 10,000 tires every hour. Quality had always been emphasized at BridgeRock, but lately quality was a bigger issue because of recent fatal accidents involving tires made by other manufacturers due to tread separation. All tire manufacturers were under pressure to ensure problems did not...
A medical researcher would like to determine how effective a new form of knee surgery is...
A medical researcher would like to determine how effective a new form of knee surgery is for treating knee pains. (In particular, is there a relationship between surgery status and pain reduction status?) He gathers 500 people with knee pain who are scheduled to have this surgery, and 500 people with knee pain who are not scheduled to have this surgery. He follows up with both groups after 2 months and determines the number of participants of each group who...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary rivals? How will the acquisition of Reebok by Adidas impact the structure of the athletic shoe industry? Is this likely to be favorable or unfavorable for New Balance? 2- What issues does New Balance management need to address? 3-What recommendations would you make to New Balance Management? What does New Balance need to do to continue to be successful? Should management continue to invest...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT