Applied Statistics and Probability for Engineers 6th Edition solutions

Applied Statistics and Probability for Engineers 6
Problem 142E If P(A|B) = 0.4, P(B) = 0.8, and P(A) = 0.5, are the events A and B independent?

Applied Statistics and Probability for Engineers 6
Problem 143E If P(A|B) = 0.3, P(B) = 0.8, and P(A) = 0.3, are the events B and the complement of A independent?

Applied Statistics and Probability for Engineers 6
Problem 144E If P(A) = 0.2, P(B) = 0.2, and A and B are mutually exclusive, are they independent?

Applied Statistics and Probability for Engineers 6
Problem 145E A batch of 500 containers of frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement, from the batch. Let A and B denote the events that the first and second containers selected are defective, respectively. (a) Are A and B independent events? (

Applied Statistics and Probability for Engineers 6
Problem 146E Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: Shock Resistance High Low Scratch High 70 9 Resistance Low 16 5 Let A denote the event that a disk has high shock

Applied Statistics and Probability for Engineers 6
Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows: Let \(A\) denote the event that a sample is from supplier 1, and let \(B\) denote the event that a sample conf

Applied Statistics and Probability for Engineers 6
Problem 148E Redundant array of inexpensive disks (RAID) is a technology that uses multiple hard drives to increase the speed of data transfer and provide instant data backup. Suppose that the probability of any hard drive failing in a day is 0.001 and the drive failures are independent. (a) A RAID 0

Applied Statistics and Probability for Engineers 6
Problem 149E The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are checked, and the samples are independent. (a) What is the probability that none contain high levels of contamination? (b) What is the probability that exactly one contains high levels of c

Applied Statistics and Probability for Engineers 6
Problem 150E In a test of a printed circuit board using a random test pattern, an array of 10 bits is equally likely to be 0 or 1. Assume the bits are independent. (a) What is the probability that all bits are 1s? (b) What is the probability that all bits are 0s? (c) What is the probability that exac

Applied Statistics and Probability for Engineers 6
Problem 151E Six tissues are extracted from an ivy plant infested by spider mites. The plant in infested in 20% of its area. Each tissue is chosen from a randomly selected area on the ivy plant. (a) What is the probability that four successive samples show the signs of infestation? (b) What is the pr

Applied Statistics and Probability for Engineers 6
Problem 152E A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume that the results from opponents are independent (and that when the player is defeated by an opponent the game ends). (a) What is the probability that a player

Applied Statistics and Probability for Engineers 6
Problem 153E In an acid-base titration, a base or acid is gradually added to the other until they have completely neutralized each other. Because acids and bases are usually colorless (as are the water and salt produced in the neutralization reaction), pH is measured to monitor the reaction. Suppose

Applied Statistics and Probability for Engineers 6
A credit card contains 16 digits. It also contains the month and year of expiration. Suppose there are 1 million credit card holders with unique card numbers. A hacker randomly selects a 16-digit credit card number. (a) What is the probability that it belongs to a user? (b) Suppose a hacker has a

Applied Statistics and Probability for Engineers 6
Problem 155E Eight cavities in an injection-molding tool produce plastic connectors that fall into a common stream. A sample is chosen every several minutes. Assume that the samples are independent. (a) What is the probability that five successive samples were all produced in cavity 1 of the mold? (b

Applied Statistics and Probability for Engineers 6
The following circuit operates if and only if there is a path of functional devices from left to right. The probability that each device functions is as shown. Assume that the probability that a device is functional does not depend on whether or not other devices are functional. What is the probabili

Applied Statistics and Probability for Engineers 6
The following circuit operates if and only if there is a path of functional devices from left to right. The probability that each device functions is as shown. Assume that the probability that a device is functional does not depend on whether or not other devices are functional. What is the probabili

Applied Statistics and Probability for Engineers 6
Consider the endothermic reactions in Exercise 2-50. Let ???? denote the event that a reaction's final temperature is 271 K or less. Let ???? denote the event that the heat absorbed is above target. Are these events independent?

Applied Statistics and Probability for Engineers 6
Consider the hospital emergency room data in Example 2-8. Let ???? denote the event that a visit is to hospital 4, and let ???? denote the event that a visit results in LWBS (at any hospital). Are these events independent?

Applied Statistics and Probability for Engineers 6
Consider the well failure data in Exercise 2-53. Let ???? denote the event that the geological formation has more than 1000 wells, and let ????denote the event that a well failed. Are these events independent?

Applied Statistics and Probability for Engineers 6
Problem 161E A Web ad can be designed from four different colors, three font types, five font sizes, three images, and five text phrases. A specific design is randomly generated by the Web server when you visit the site. Let A denote the event that the design color is red, and let B denote the event

Applied Statistics and Probability for Engineers 6
Consider the code in Example 2-12. Suppose that all 40 codes are equally likely (none is held back as a delimiter).Let ???? and ???? denote the event that the first bar is wide and ???? denote the event that the second bar is wide. Determine the following: (a) \(P(A)\) (b) \(P(B)\) (c

Applied Statistics and Probability for Engineers 6
Problem 163E An integrated circuit contains 10 million logic gates (each can be a logical AND or OR circuit). Assume the probability of a gate failure is p and that the failures are independent. The integrated circuit fails to function if any gate fails. Determine the value for p so that the probabil

Applied Statistics and Probability for Engineers 6
Problem 164E Table 2-1 provides data on wafers categorized by location and contamination levels. Let A denote the event that contamination is low, and let B denote the event that the location is center. Are A and B independent? Why or why not? TABLE 2-1. Wafers in Semiconductor Manufacturing Classifi

Applied Statistics and Probability for Engineers 6
Problem 165E Table 2-1 provides data on wafers categorized by location and contamination levels. More generally, let the number of wafers with low contamination from the center and edge locations be denoted as nlc and nle, respectively. Similarly, let nhc and nhe denote the number of wafers with high