A manufacturing company implemented a new production process to reduce defective fuses. From the old process, it was computed that at least 1 defect costs the company an average of ₱6,500,000.00 per production run. After implementing the new process, suppose a large lot contains 10% defective fuses and four fuses are randomly sampled from the lot. a Find the probability that at least one fuse in the sample of four is defective. b (Continuing from result in item a) in one production run of 500 eighty-unit lots, how much would be the loss if the cost to manufacture one unit is ₱ 335.75? c How much is the difference from the old process? Did the new process effectively reduce the company’s losses

A manufacturing company implemented a new production process to reduce defective fuses. From the old process, it was computed that at least 1 defect costs the company an average of ₱6,500,000.00 per production run. After implementing the new process, suppose a large lot contains 10% defective fuses and four fuses are randomly sampled from the lot. a Find the probability that at least one fuse in the sample of four is defective. b (Continuing from result in item a) in one production run of 500 eighty-unit lots, how much would be the loss if the cost to manufacture one unit is ₱ 335.75? c How much is the difference from the old process? Did the new process effectively reduce the company’s losses

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose an RMG production line is known to have 7.4 flaws (defects) in every 50 products. a. What is the probability that there will be 32 flaws (defects) in a batch of 200 products? b. What is the probability that there will be more than 5 flaws (defects) in a particular batch of 50 products?
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6)
12. Find the probability that at most 5 defective fuses will be found in a box of 200 fuses if experience shows that 2 per cent of such fuses are defective.
3. A company produces boxes of candy that contain a mean of 50 candies each. The standard deviation is 2. Quality control will reject any box with fewer than 48 candies. a) What is the probability that a box selected at random contains exactly 51 pieces? b) What proportion of the boxes will quality control reject as containing too few candies? c) The company produces 135 000 boxes of candy a day. How many of these boxes will have at least 48 candies but no more than 53?
4. In a computer game, the probability that a player hits a target is 0.4 for each attempt and the results are independent of each other. Determine a) the probability that the player hits the target for the first time on the fifth attempt. b) the mostly likely number of attempts to hit the target.
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