Question

A manufacturing process produces 6.2% defective items. What is the probability that in a sample of...

A manufacturing process produces 6.2% defective items. What is the probability that in a sample of 48 items:

a. 11% or more will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)

Probability            

b. less than 2% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)

Probability            

c. more than 11% or less than 2% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)

Probability            

Homework Answers

Answer #1

The detailed solution is given in the pictures below.

Please go through them carefully specially the notations.

Hope the solution helps. Thank you.

(Please do comment if further help is required)


Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A manufacturing process produces 7.2% defective items. What is the probability that in a sample of...
A manufacturing process produces 7.2% defective items. What is the probability that in a sample of 56 items: a. 10% or more will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability             b. less than 1% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability             c. more than 10% or less than 1% will be defective? (Round...
A manufacturing machine has a 40% defect rate. If 102 items are chosen at random, answer...
A manufacturing machine has a 40% defect rate. If 102 items are chosen at random, answer the following. a) Which is the correct wording for the random variable?    b) Pick the correct symbol: n = 102 c) Pick the correct symbol: p= 0.4 d) What is the probability that exactly 36 of them are defective? Round final answer to 4 decimal places. ________ e) What is the probability that less than 36 of them are defective? Round final answer...
A manufacturing firm produces a product that has a ceramic coating. The coating is baked on...
A manufacturing firm produces a product that has a ceramic coating. The coating is baked on to the​ product, and the baking process is known to produce 10​% defective items. Every​ hour, 25 products from the thousands that are baked hourly are sampled from the​ ceramic-coating process and inspected. Complete parts a through c. a. What is the probability that 5 defective items will be found in the next time sample of 25? The probability is ________ that 5 defective...
Ten percent of the items produced by a machine are defective. A random sample of 100...
Ten percent of the items produced by a machine are defective. A random sample of 100 items is selected and checked for defects. Round answers to four decimal places. A)What is the probability that the sample will contain more than 2.5% defective units? B)What is the probability that the sample will contain more than 13% defective units?
Items produced by a manufacturing process are supposed to weigh 90 grams. However, there is variability...
Items produced by a manufacturing process are supposed to weigh 90 grams. However, there is variability in the items produced, and they do not all weigh exactly 90 grams. The distribution of weights can be approximated by a normal distribution with a mean of 90 grams and a standard deviation of 1 gram. To monitor the production process, items are sampled from the manufacturing process and weighed several times throughout each day. What proportion of all possible items will either...
The probability of a defective unit in a manufacturing process has a binomial distribution with p...
The probability of a defective unit in a manufacturing process has a binomial distribution with p = 0.03 What is the probability of 2 or more occurences in a sample of 15 units? (Hint: Probability of 2 or more is 1 minus probability of 1 or less.)
A manufacturing process produces semiconductor chips with a known failure rate of 7.5% If a random...
A manufacturing process produces semiconductor chips with a known failure rate of 7.5% If a random sample of 275 chips is selected, approximate the probability that more than 19 will be defective. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.
A process yields 17% defective items. If 50 items are randomly selected from the process, what...
A process yields 17% defective items. If 50 items are randomly selected from the process, what is an approximate probability that the number of defectives (a) exceeds 13? (b) is less than 3? (c) provide an exact expressions for probabilities in (a) and (b)
A machine, when working properly, produces only 2% defective items. Periodically a sample is taken and...
A machine, when working properly, produces only 2% defective items. Periodically a sample is taken and tested to make sure that the machine is working properly. Suppose a random sample of 121 items produced by this machine was tested and was found to have 5 defective items at α=0.05, what is the critical proportion to compare to the sample proportion when deciding on whether the proportion of the population must be > 0.02? Answer in 4 decimal places. Please show...
A manufacturer of computer chips claims that the probability of a defective chip is 0.004. The...
A manufacturer of computer chips claims that the probability of a defective chip is 0.004. The manufacturer sells chips in batches of 600 to major computer companies. a. How many defective chips would you expect in a batch? (Round the final answer to 2 decimal places.) Number of chips            b. What is the probability that none of the chips are defective in a batch? (Round the final answer to 4 decimal places.) Probability            c. What is the probability at least...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT