Question

In: Statistics and Probability

Future Electronics makes compact disc players. Its research department found that the life of the laser...

Future Electronics makes compact disc players. Its research department found that the life of the laser beam device is normally distributed, with mean 4540 hours and standard deviation 410 hours.

(a) Find the probability that the laser beam device will wear out in 5000 hours or less. (Round your answer to four decimal places.)


(b) Future Electronics wants to place a guarantee on the players so that no more than 10% fail during the guarantee period. Because the laser pickup is the part most likely to wear out first, the guarantee period will be based on the life of the laser beam device. How many playing hours should the guarantee cover? (Round your answer down to the nearest hour.)
hr

Solutions

Expert Solution

Let "X" be the life of the laser beam device in hours

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(1.220, TRUE)" to find the probability.

------------------------------------------------------------------------------------------------

Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.10 to the left of the normal curve OR use excel formula "=NORM.S.INV(0.10)" to find the z-score.

Round the value to the nearest hour.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

AV 2000 Inc. has developed a laser disc and a compact disc which have become popular...
AV 2000 Inc. has developed a laser disc and a compact disc which have become popular among young adults. Last year's cost and operating data for the two audio-visual products are presented below:                                                                         ______Per Unit_______                                                                         Laser               Compact                                                                         Disc                   Disc Selling price……………………………….   $50                    $10 Contribution Margin ratio………………..    60%                   20%                                                                         ______Per Year_______ Sales volume in units…………………….     5,000                 15,000 Fixed costs……………...………………..               $99,000 Required: 1.         Prepare last year's contribution income statement showing both amount and percent...
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage...
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let ? = the number of defective boards in a random sample of size ? = 25. a. Determine ? (? = 2) (Using the formula of the pmf) b. Determine ? (1 ≤ ? ≤ 4) (Using the table). c. Calculate the expected value d. Calculate variance and standard deviation of ?.
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage...
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 10%. Let X = the number of defective boards in a random sample of size n = 25, so X ~ Bin(25, 0.1). (Round your probabilities to three decimal places.) (a) Determine P(X ≤ 2). (b) Determine P(X ≥ 5). (c) Determine P(1 ≤ X ≤ 4). (d) What is the probability that none of the 25 boards is defective? (e)...
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage...
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 10%. Let X = the number of defective boards in a random sample of size n = 20, so X ~ Bin(20, 0.1). (Round your probabilities to three decimal places.) (a) Determine P(X ≤ 2). (b) Determine P(X ≥ 5). (c) Determine P(1 ≤ X ≤ 4). (d) What is the probability that none of the 20 boards is defective? (e)...
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage...
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 10%. Let X = the number of defective boards in a random sample of size n = 20, so X ~ Bin(20, 0.1). (Round your probabilities to three decimal places.) (a) Determine P(X ≤ 2). b. Determine P(X ≥ 5). c. Determine P(1 ≤ X ≤ 4). d. What is the probability that none of the 20 boards is defective? e....
A company which manufactures compact discs has found that demand for its product has been increasing...
A company which manufactures compact discs has found that demand for its product has been increasing rapidly over the last 12 months. A decision now has to be made as to how production capacity can be expanded to meet this demand. Three alternatives are available: (i) Expand the existing plant; (ii) Build a new plant in an industrial development area; (iii) Subcontract the extra work to another manufacturer. The returns which would be generated by each alternative over the next...
Archer Electronics is preparing its annual budget, and your department is working on the cash flow...
Archer Electronics is preparing its annual budget, and your department is working on the cash flow budget. Here is selected information you have: Description June July August Sales $348,000 $438,000 $450,000 The company makes 10% of its sales for cash and 90% on credit. Of the credit sales, 20% are collected in the month after the sale and 80% are collected two months after. The cash receipts for August are: A. Not enough information to solve the problem B. $326,000...
Suppose that your marketing research department has found that the consumer​ (retail) demand for your product​...
Suppose that your marketing research department has found that the consumer​ (retail) demand for your product​ is: Q=140−P​, where Q is the quantity demanded and P is the price. This demand function can be solved for the inverse demand–that ​is, the price as a function of the quantity​ demanded: P=140−Q. Your marginal cost of production and average total cost of production are constant and equal to ​$75 per unit. The marginal cost of distribution and average total cost of distribution...
A research study found the following sample data regarding preferred pace of life and gender:                           &nbs
A research study found the following sample data regarding preferred pace of life and gender:                                                                                                 Gender Preferred Pace of Life                                      Male                                      Female Slower                                                                  230                                         218 No Preference                                                  20                                           24 Faster 90                                           48 Test to see if Preferred Pace of Life is independent of Gender. Assume α = 0.01. What is the expected frequency for No Preference and Female if the variables are independent? How many degrees of freedom are in the test? What is the critical value of the test statistic?...
If the Department of Defense (DoD) implemented the plans described in its 2019 Future Years Defense...
If the Department of Defense (DoD) implemented the plans described in its 2019 Future Years Defense Program, its base budget (which funds normal peacetime activities) would climb from the $617 billion requested for 2019 to $735 billion (in 2019 dollars) in 2033, CBO estimates. Most of that increase would result from increased costs for military personnel and operation and maintenance. Base-budget costs would substantially exceed the share of funding that DoD has previously received under the Budget Control Act’s funding...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT