math problem 1|A shipment of 14 television sets includes three that are defective. In how manyways can a hotel purchase four of these sets and receive at least two of thedefective sets?2.If A and B are mutually exclusive, P(A) = 0.3 , and P(B) =0.47, find%3D(a) P(A');(b) Р(В');(c) P(AU B);(а) Р(АN B);(e) P(ANB');(f). P(A'N B').

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Answered: 1| A shipment of 14 television sets…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...

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1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2
7. Determine the following if h(x) = [(4,6), (6,7),(0,4), (10,0), (11,10)} a) h-(6) = b) h(10) = %3D c) h-(h(4)) =
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Q.2: Mr. Ahmed is planning to recruit some additional sales staff for his company Al Khalif LLC. Since the sale varies from time to time, he decided to recruit staff if average sales is more than RO 35000. Following are the details of his company's sales for past 50 days. Sales 00- 10-20 20-30 30-40 40-50 50-60 60-70. 70- ('000RO) 10 80 No. of 05 07 10 05 08 05 05 05 days a) What would you suggest Mr. Ahmed regarding recruitment of sales staff? Give reason for your answer. b) What is the mode sale of the company? Why do you calculate mode sales?
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1.3 of your textbook about the automobile that was tested for production defects, but assume that the number of production defects is 21 and that 12 of these are classified as major defects, 11 are classified as design defects, and 6 were neither major defects nor design defects. How many of the design defects were major?
5. Seventy percent of clay pots are produced by Machine 1 and 30% by Machine 2. Among all pots produced by Machine 1, 4% are defective, and of those produced by Machine 2, 8% are defective. a) What percentage of the total produced are defective? (0.70)(0.04) + (0.30)(0.08) = 0.052 or 5.2% b) If a pot is found to be defective, what is the probability that it was produced by Machine 2? Explain your answer. (0.30)(0.08) 0.052 = 0.4615 or 46.2%
32. A garden is inhabited by Argentinian ants that group in spatially separated colonies which are connected by migration. How does the fraction of occupied ant colonies (f) change with time if the probability of ant colony colonization (Pi) is 20%, the probability of ant colony extinction (Pe) is 10%, the fraction of currently occupied ant colonies (f) is 50%, and the fraction of unoccupied ant colonies is represented as (1-f). a. 20% b. 0% c. 5% d. 15% e. -5%
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1| A shipment of 14 television sets includes three that are defective. In how many ways can a hotel purchase four of these sets and receive at least two of the defective sets?