Question

A manufacturer produces widgets that are packaged in boxes of 150. The probability of a widget...

A manufacturer produces widgets that are packaged in boxes of 150. The probability of a widget being defective is 0.023. Find the mean and standard deviation for the number of defective widgets in a box.

The mean, mu , is ___. (Round to the nearest hundredth as needed.)

The standard deviation, sigma , is ___. (Round to the nearest thousandth as needed.)

0 0
Add a comment Improve this question Transcribed image text
Answer #1

n 150,p 0.023 Expected value of X, Mean-μ-np-150 * 0.023-3.45 Expectation or mean is: μ = 3.45 Std Dev: σ-Vnp(1-p)-V150 * (0.

Add a comment
Know the answer?
Add Answer to:
A manufacturer produces widgets that are packaged in boxes of 150. The probability of a widget...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A manufacturer produces widgets whose lengths are normally distributed with a mean of 6.8 cm and...

    A manufacturer produces widgets whose lengths are normally distributed with a mean of 6.8 cm and standard deviation of 2.1 cm. A. If a widget is selected at random, what is the probability it is greater than 6.8 cm.?_____ B. What is the standard deviation of the average of samples of size 36 ?______ C. What is the probability the average of a sample of size 36 is greater than 6.8 cm?_______ Round answer to four decimal places

  • A manufacturer produces widgets whose lengths are normally distributed with a mean of 9.9 cm and...

    A manufacturer produces widgets whose lengths are normally distributed with a mean of 9.9 cm and standard deviation of 3.7 cm. A. If a widget is selected at random, what is the probability it is greater than 9.7 cm.?   B. What is the standard deviation of the average of samples of size 41 ?   C. What is the probability the average of a sample of size 41 is greater than 9.7 cm?   Round answer to four decimal places.

  • A manufacturer produces widgets whose lengths are normally distributed with a mean of 17.3 cm and...

    A manufacturer produces widgets whose lengths are normally distributed with a mean of 17.3 cm and standard deviation of 2 cm. A. If a widget is selected at random, what is the probability it is greater than 17.4 cm.? Round to dour decimal places B. What is the standard deviation of the average of samples of size 32 ? Round answer to four decimal places C. What is the probability the average of a sample of size 32 is greater...

  • 10) WidgCo is a company that manufactures widgets. It is known that 1 out of every...

    10) WidgCo is a company that manufactures widgets. It is known that 1 out of every 49 widgets that the company produces is defective. A batch of 150 widgets is produced. Find the standard deviation of the number of defective widgets in the batch. Round your answer to 4 decimal places.

  • Please help with 3 and 4! After graduation you join a company that produces widgets. The...

    Please help with 3 and 4! After graduation you join a company that produces widgets. The manufacturing process is known to produce defective widgets with a probability of 0.15. 1) You take a sample of 20 widgets and find the number of defective widgets. a. What is the theoretical name of this distribution? b. Create 10,000 samples of this distribution in R. Plot the histogram. Print and turn in the histogram with your name. What is the average of the...

  • Boxes are labeled as containing 400 g of cereal. The machine filling the boxes produces weights...

    Boxes are labeled as containing 400 g of cereal. The machine filling the boxes produces weights that are normally distributed with standard deviation 12 g. (a) If the target weight is 400 g, what is the probability that the machine produces a box with less than 375 g of cereal? (Round your answer to three decimal places.) (b) Suppose a law states that no more than 10% of a manufacturer's cereal boxes can contain less than the stated weight of...

  • Jan's All You Can Eat Restaurant charges ​$9.00 per customer to eat at the restaurant. Restaurant...

    Jan's All You Can Eat Restaurant charges ​$9.00 per customer to eat at the restaurant. Restaurant management finds that its expense per​ customer, based on how much the customer eats and the expense of​ labor, has a distribution that is skewed to the right with a mean of $8.40 and a standard deviation of $3. Complete parts​ (a) and​ (b). a. If the 100 customers on a particular day have the characteristics of a random sample from their customer​ base,...

  • 21) WidgCo is a company that manufactures widgets. It is known that 1 out of every...

    21) WidgCo is a company that manufactures widgets. It is known that 1 out of every 51 widgets that the company produces is defective. A batch of 150 widgets is produced. Find the probability that the number of defective widgets in the batch is more than 1 but less than 5. Round your answer to 4 decimal places. Please show steps to the solution in detail, Thank you!!

  • A manufacturer produces a component for use in the automotive industry. It is known that 1%...

    A manufacturer produces a component for use in the automotive industry. It is known that 1% of the items produced are defective. Suppose a random sample of 20 items is examined. (a) Find the probability that (i) no defectives are found in the sample, (ii) one or fewer defectives are found in the sample. (b) Find: (i) the mean (expected) number of defectives in the sample, (ii) the variance and standard deviation.

  • The population mean and standard deviation are given below. Find the required probability and determine whether...

    The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n equals 62​, find the probability of a sample mean being less than 22.9 if mu equals 23 and sigma equals 1.33. For a sample of n equals 62​, the probability of a sample mean being less than 22.9 if mu equals 23 and sigma equals 1.33 is

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT