There are A, B, and C types of problem set, and each type of problem set...

There are A, B, and C types of problem set, and each type of problem set contains 3000, 2000, 5000 problems, respectively. Suppose you can solve A-type problem with 90% probability, B-type problem with 20% probability, and C-type problem with 60% probability. To pass graduation exam, you must solve both of two questions randomly chosen from the total problem set (out of 10,000 problems). Answer the following questions:

1) What is the probability that you pass the graduation exam? 2)

What is the probability that you have solved one or more A-type questions when you passed the exam?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Classify each of the following transactions as to the type of reorganization (Type A B C...

Classify each of the following transactions as to the type of reorganization (Type A B C D E F) or, if applicable, a taxable transaction. a.Alpha Corporation owns assets valued at $400,000 and liabilities of $100,000. Beta Corporation transfers $160,000 of its voting stock and $40,000 in cash for 75% of Alpha's assets and all of its liabilities. Alpha distributes its remaining assets and the Beta stock to its shareholders. Alpha then liquidates. Taxable b. Beta Corporation owns assets valued...

types of faults in transformer and each problem how to solve it and which type of...

types of faults in transformer and each problem how to solve it and which type of test for each problem online or offline

A furniture manufacturer produces two types of display cabinets Type A and Type B Each month...

A furniture manufacturer produces two types of display cabinets Type A and Type B Each month x of type A and y of type B are produced. Profit on type A is 300SR and profit on type B is 150SR. The following constraints control monthly production : (i) Not more than 50 display cabinets of type A and 40 display cabinets of type B can be made (ii) To show a profit at least 60 display cabinets in all must...

1. Genes A, B, and C are each located on a different chromosome type. Predict the...

1. Genes A, B, and C are each located on a different chromosome type. Predict the phenotypic ratio in the progeny of the test cross: AaBbCc X aabbcc. Assume that capital letters represent dominant alleles and lower case letters represent recessive alleles. Use the symbols “A”, “B”, & “C” to represent the dominant phenotype specified by genes A, B, & C, and the symbol “a”, “b”, & “c” to represent the recessive phenotypes. 2. If genes A & B are...

Use the set definitions A = {a, b} and B = {b, c} to express the elements in the power set P(A ∪ B).

Fill in Multiple BlanksUse the set definitions A = {a, b} and B = {b, c} to express the elements in the power set P(A ∪ B).Use {} for the empty setDo not add any spaces in your answer. Example {f} not { f } {e,f,g} not {e, f, g}{[1],[2], [3], [4], {a,b}, {b,c}, [5], [6]}

Suppose there are two types of consumers: Type A and Type B. The demands for a...

Suppose there are two types of consumers: Type A and Type B. The demands for a monopolist’s product for each type of consumers are given by: Type A: Q = 90 – 2P Type B: Q = 60 – 4P Assume the marginal cost of production is constant and MC = 4, and there are no fixed costs. a) Suppose the firm is unable to distinguish between the two types of consumers, and therefore cannot engage in price discrimination. Sketch...

Suppose there are two types of consumers: Type A and Type B. The demands for a...

Suppose there are two types of consumers: Type A and Type B. The demands for a monopolist’s product for each type of consumers are given by: Type A: Q = 90 – 2P Type B: Q = 60 – 4P Assume the marginal cost of production is constant and MC = 4, and there are no fixed costs. a)Suppose the firm is unable to distinguish between the two types of consumers, and therefore cannot engage in price discrimination. Sketch the...

For the following exercises, find the number of subsets in each given set. {a, b, c, … , z}

For the following exercises, find the number of subsets in each given set.{a, b, c, … , z}

Problem 4: A large firm uses three different types (A, B, and C) of raw materials...

Problem 4: A large firm uses three different types (A, B, and C) of raw materials to manufacture its product. Previous records show that 25% of the manufactured products are produced using material A, 50% using material B, and 25% using material C. If it is known that 5% of the product made with material A are defective, 2% made with material B are defective, and 5% made with C are defective. What is the probability that a product selected...

transport company has two types of trucks, Type A and Type B. Type A has a...

transport company has two types of trucks, Type A and Type B. Type A has a refrigerated capacity of 20 m3 and a non-refrigerated capacity of 40 m3 while Type B has the same overall volume with equal sections for refrigerated and non-refrigerated stock. A grocer needs to hire trucks for the transport of 3,000 m3 of refrigerated stock and 4,000 m3 of non-refrigerated stock. The cost per kilometer of Type A is $30, and $40 for Type B. How...

Subjects