Explanation Given: The number of defective tiles in a batch of 24 is 5 rather than 4 and 3 tiles are sampled at random. Formula used: The number of combinations, or subsets, of n distinct things taken r at a time, where , r ≤ n can be calculated as follows. n C r = ( n P r ) r ! = n ! r ! ( n − r ) ! And If all outcomes in a sample space S are equally likely, and E is an event within that sample space, then the theoretical probability of event E is given by the following formula. P ( E ) = n u m b e r o f F a v o r a b l e o u t c o m e s t o t a l n u m b e r o f o u t c o m e s = n ( E ) n ( S ) Calculation: The batch will not be shipped if 1, 2, or 3 of the tiles sampled are defective. Now, need to find P ( 2 defective ) and P ( 3 defective ) . To find P ( 1 defective ) , need to count the number of ways to choose 1 from the 5 defective tiles in the batch and choose 2 from the 19 good tiles in the batch; C 5 1 × C 19 2 = 5 ! 4 ! × 19 ! 17 ! × 2 ! = 5 × 19 × 9 = 855 To find P ( 2 defective ) , need to count the number of ways to choose 2 from the 5 defective tiles in the batch and choose 1 from the 19 good tiles in the batch; C 5 2 × C 19 1 = 5 ! 3 ! ×

Mathematics with Applications and Mylab Math with Pearson EText -- Title-Specific Access Card Package

12th Edition

ISBN: 9780134862668

Author: Lial, Margaret L.

Publisher: Pearson Education Canada

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Chapter 9.3, Problem 2E

To determine

To calculate: The probability that the batch is rejected (that is, at least 1 sampled tile is defective).

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Chapter 9.3, Problem 1E

Chapter 9.3, Problem 3E

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Chapter 9 Solutions

Mathematics with Applications and Mylab Math with Pearson EText -- Title-Specific Access Card Package

Ch. 9.1 - Checkpoint 1 (a) Give the probability distribution...Ch. 9.1 - Checkpoint 2 Find the expected value of the number...Ch. 9.1 - Prob. 3CP Ch. 9.1 - Prob. 4CP Ch. 9.1 - Prob. 5CP Ch. 9.1 - Prob. 6CP Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E

Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - 44. Physical Science One of the few methods that...Ch. 9.1 - Prob. 43E Ch. 9.1 - Find the expected number of returns per...Ch. 9.2 - Prob. 1CP Ch. 9.2 - Prob. 2CP Ch. 9.2 - Prob. 3CP Ch. 9.2 - Prob. 4CP Ch. 9.2 - Prob. 5CP Ch. 9.2 - Prob. 6CP Ch. 9.2 - Prob. 7CP Ch. 9.2 - Prob. 8CP Ch. 9.2 - Prob. 9CP Ch. 9.2 - Prob. 10CP Ch. 9.2 - Checkpoint 10 Solve the problems in Example 14. Ch. 9.2 - Prob. 12CP Ch. 9.2 - Prob. 13CP Ch. 9.2 - Prob. 14CP Ch. 9.2 - Prob. 1E Ch. 9.2 - Prob. 2E Ch. 9.2 - Prob. 3E Ch. 9.2 - Prob. 4E Ch. 9.2 - Prob. 5E Ch. 9.2 - Evaluate the given factorials, permutations, and...Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Use a calculator to find values for Exercises...Ch. 9.2 - Use a calculator to find values for Exercises...Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Use a calculator to find values for Exercises...Ch. 9.2 - Use a calculator to find values for Exercises...Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Use the multiplication principle to solve the...Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Prob. 29E Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - 37. Define permutation in your own words. Ch. 9.2 - Prob. 38E Ch. 9.2 - Prob. 39E Ch. 9.2 - Prob. 40E Ch. 9.2 - Prob. 41E Ch. 9.2 - Prob. 42E Ch. 9.2 - Prob. 43E Ch. 9.2 - Prob. 44E Ch. 9.2 - Prob. 45E Ch. 9.2 - Prob. 46E Ch. 9.2 - Prob. 47E Ch. 9.2 - Prob. 48E Ch. 9.2 - Prob. 49E Ch. 9.2 - Prob. 50E Ch. 9.2 - Prob. 51E Ch. 9.2 - Prob. 52E Ch. 9.2 - Prob. 53E Ch. 9.2 - Prob. 54E Ch. 9.2 - Prob. 55E Ch. 9.2 - Prob. 56E Ch. 9.2 - Prob. 57E Ch. 9.2 - Prob. 58E Ch. 9.2 - Prob. 59E Ch. 9.2 - Prob. 60E Ch. 9.2 - Prob. 61E Ch. 9.2 - Prob. 62E Ch. 9.2 - Prob. 63E Ch. 9.2 - Prob. 64E Ch. 9.2 - Prob. 65E Ch. 9.2 - Prob. 66E Ch. 9.2 - Prob. 67E Ch. 9.2 - Prob. 68E Ch. 9.2 - Prob. 69E Ch. 9.2 - Prob. 70E Ch. 9.2 - Prob. 71E Ch. 9.2 - Prob. 72E Ch. 9.3 - Checkpoint 1 The ski club has 8 women and 7 men....Ch. 9.3 - Checkpoint 2 A batch of 15 granite slabs is mined,...Ch. 9.3 - Checkpoint 3 Find the probability of being dealt a...Ch. 9.3 - Checkpoint 4 Martha, Leonard, Calvin, and Sheila...Ch. 9.3 - Checkpoint 5 Evaluate (a) n = 3; (b) n = 6. Ch. 9.3 - Prob. 6CP Ch. 9.3 - Prob. 1E Ch. 9.3 - Prob. 2E Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Prob. 16E Ch. 9.3 - Find the probability that the 2-card hand in...Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - Prob. 20E Ch. 9.3 - Prob. 21E Ch. 9.3 - Prob. 22E Ch. 9.3 - Natural Science A shipment contains 8 igneous, 7...Ch. 9.3 - Prob. 24E Ch. 9.3 - Prob. 25E Ch. 9.3 - Prob. 26E Ch. 9.3 - 27. Example 16 in Section 9.2 shows that the...Ch. 9.3 - Prob. 28E Ch. 9.3 - Prob. 29E Ch. 9.3 - Prob. 30E Ch. 9.3 - Prob. 31E Ch. 9.3 - Prob. 32E Ch. 9.3 - For Exercises 32–34, refer to Example 6 in this...Ch. 9.3 - For Exercises 32–34, refer to Example 6 in this...Ch. 9.3 - Prob. 35E Ch. 9.3 - Prob. 36E Ch. 9.3 - Prob. 37E Ch. 9.3 - Prob. 38E Ch. 9.4 - Checkpoint 1 Find the probability of obtaining ...Ch. 9.4 - Checkpoint 2 According to the study in Example 1,...Ch. 9.4 - Prob. 3CP Ch. 9.4 - Prob. 4CP Ch. 9.4 - Prob. 5CP Ch. 9.4 - Prob. 1E Ch. 9.4 - Prob. 2E Ch. 9.4 - Prob. 3E Ch. 9.4 - Prob. 4E Ch. 9.4 - Prob. 5E Ch. 9.4 - Prob. 6E Ch. 9.4 - Prob. 7E Ch. 9.4 - Prob. 8E Ch. 9.4 - Prob. 9E Ch. 9.4 - Prob. 10E Ch. 9.4 - Prob. 11E Ch. 9.4 - Prob. 12E Ch. 9.4 - Prob. 13E Ch. 9.4 - Prob. 14E Ch. 9.4 - Prob. 15E Ch. 9.4 - Prob. 16E Ch. 9.4 - Prob. 17E Ch. 9.4 - Prob. 18E Ch. 9.4 - Prob. 19E Ch. 9.4 - Prob. 20E Ch. 9.4 - Prob. 21E Ch. 9.4 - Labor Force According to data from the US. Bureau...Ch. 9.4 - Prob. 23E Ch. 9.4 - Prob. 24E Ch. 9.4 - Prob. 25E Ch. 9.4 - Prob. 26E Ch. 9.4 - Prob. 27E Ch. 9.4 - Prob. 28E Ch. 9.4 - Prob. 29E Ch. 9.4 - Prob. 30E Ch. 9.4 - Prob. 31E Ch. 9.4 - Prob. 32E Ch. 9.4 - Prob. 33E Ch. 9.4 - Prob. 34E Ch. 9.4 - Prob. 35E Ch. 9.4 - Prob. 36E Ch. 9.4 - Prob. 37E Ch. 9.4 - Prob. 38E Ch. 9.4 - Prob. 39E Ch. 9.4 - Prob. 40E Ch. 9.4 - Prob. 41E Ch. 9.4 - Prob. 42E Ch. 9.4 - Prob. 43E Ch. 9.4 - Prob. 44E Ch. 9.5 - Prob. 1CP Ch. 9.5 - Prob. 2CP Ch. 9.5 - Prob. 3CP Ch. 9.5 - Prob. 4CP Ch. 9.5 - Prob. 5CP Ch. 9.5 - Prob. 6CP Ch. 9.5 - Prob. 1E Ch. 9.5 - Prob. 2E Ch. 9.5 - Prob. 3E Ch. 9.5 - Prob. 4E Ch. 9.5 - Prob. 5E Ch. 9.5 - Prob. 6E Ch. 9.5 - Prob. 7E Ch. 9.5 - Prob. 8E Ch. 9.5 - Prob. 9E Ch. 9.5 - Prob. 10E Ch. 9.5 - Prob. 11E Ch. 9.5 - Prob. 12E Ch. 9.5 - Prob. 13E Ch. 9.5 - Prob. 14E Ch. 9.5 - Prob. 15E Ch. 9.5 - Prob. 16E Ch. 9.5 - Prob. 17E Ch. 9.5 - Prob. 18E Ch. 9.5 - Prob. 19E Ch. 9.5 - Prob. 20E Ch. 9.5 - Prob. 21E Ch. 9.5 - Prob. 22E Ch. 9.5 - Prob. 23E Ch. 9.5 - Prob. 24E Ch. 9.5 - Prob. 25E Ch. 9.5 - Prob. 26E Ch. 9.5 - Prob. 27E Ch. 9.5 - Prob. 28E Ch. 9.5 - Prob. 30E Ch. 9.5 - Prob. 29E Ch. 9.5 - Prob. 31E Ch. 9.5 - Prob. 32E Ch. 9.5 - Prob. 33E Ch. 9.5 - Prob. 34E Ch. 9.5 - Prob. 35E Ch. 9.5 - Prob. 36E Ch. 9.5 - Prob. 38E Ch. 9.5 - Prob. 37E Ch. 9.5 - 40. Business An insurance company classifies its...Ch. 9.5 - Prob. 40E Ch. 9.5 - Prob. 41E Ch. 9.5 - Prob. 43E Ch. 9.5 - Prob. 42E Ch. 9.5 - Prob. 44E Ch. 9.5 - Prob. 45E Ch. 9.5 - Prob. 46E Ch. 9.6 - Prob. 1CP Ch. 9.6 - Prob. 2CP Ch. 9.6 - Prob. 3CP Ch. 9.6 - Prob. 1E Ch. 9.6 - Prob. 2E Ch. 9.6 - Prob. 3E Ch. 9.6 - Prob. 4E Ch. 9.6 - Prob. 5E Ch. 9.6 - Prob. 6E Ch. 9.6 - Prob. 7E Ch. 9.6 - Prob. 8E Ch. 9.6 - Prob. 9E Ch. 9.6 - Prob. 10E Ch. 9 - Prob. 1RE Ch. 9 - In Exercises 1–4, (a) sketch the histogram of the...Ch. 9 - In Exercises 1–4, (a) sketch the histogram of the...Ch. 9 - In Exercises 1–4, (a) sketch the histogram of the...Ch. 9 - Prob. 5RE Ch. 9 - Prob. 6RE Ch. 9 - Prob. 7RE Ch. 9 - Prob. 8RE Ch. 9 - Prob. 9RE Ch. 9 - Prob. 10RE Ch. 9 - Games of Chance Solve the given problems. Business...Ch. 9 - Prob. 12RE Ch. 9 - Prob. 13RE Ch. 9 - Solve the given problems. 14. How many variations...Ch. 9 - Prob. 15RE Ch. 9 - Prob. 16RE Ch. 9 - Prob. 17RE Ch. 9 - Prob. 18RE Ch. 9 - Prob. 19RE Ch. 9 - Prob. 20RE Ch. 9 - Prob. 21RE Ch. 9 - Prob. 22RE Ch. 9 - Prob. 23RE Ch. 9 - Prob. 24RE Ch. 9 - Prob. 25RE Ch. 9 - Prob. 26RE Ch. 9 - Prob. 27RE Ch. 9 - Prob. 28RE Ch. 9 - Prob. 29RE Ch. 9 - Prob. 30RE Ch. 9 - Prob. 31RE Ch. 9 - Prob. 32RE Ch. 9 - Prob. 33RE Ch. 9 - Prob. 34RE Ch. 9 - Prob. 35RE Ch. 9 - Prob. 36RE Ch. 9 - Prob. 37RE Ch. 9 - Prob. 38RE Ch. 9 - Prob. 39RE Ch. 9 - Prob. 40RE Ch. 9 - Prob. 41RE Ch. 9 - Prob. 42RE Ch. 9 - Prob. 43RE Ch. 9 - Prob. 44RE Ch. 9 - Prob. 45RE Ch. 9 - Prob. 46RE Ch. 9 - Prob. 1CE Ch. 9 - Prob. 2CE Ch. 9 - Prob. 3CE Ch. 9 - Prob. 4CE Ch. 9 - Prob. 5CE Ch. 9 - Prob. 1EP Ch. 9 - 2. Investigate whether your own state or a state...

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