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Market Equilibrium: Mathematical Approach



Price (In Thousand)

In testing a certain kind of truck tire over a rugged

terrain, it is found that 25% of the trucks fail to

complete the test run without a blowout. Of the next

15 trucks tested, find the probability that a) From 3

to 6 have blowouts; b) Fewer than 4 have blowouts;

C) More than 5 have blowouts.


a. Each object of the class BookType can hold the following information about a book: title, up to four authors, publisher, ISBN, price, and number of copies in stock. To keep track of the number of authors, add another member variable.

b. Include the member functions to perform the various operations on objects of type BookType. For example, the usual operations that can be performed on the title are to show the title, set the title, and check whether a title is the same as the actual title of the book. Similarly, the typical operations that can be performed on the number of copies in stock are to show the number of copies in stock, set the number of copies in stock, update the number of copies in stock, and return the number of copies in stock. Add similar operations for the publisher, ISBN, book price, and authors. Add the appropriate constructors and a destructor (if one is needed). Also add the necessary preconditions and postconditions.


What legal remedy is available to the victim ot iriunia

Employed 95,000


Unemployed 5,000


Not in the labor force 80,000


The labor force equals?

If a given score is at the 30th percentile for reference group A and the same score is at the 60th percentile for reference group B, how do the two groups compare in terms of performance

An experiment has a binary outcome. Either success or failure. The probability of success is always 0.15. Suppose that the experiment is repeated 30 times.

a. Find out the probability that there are exactly 10 successes. 

b. Calculate the same probability using a Normal Approximation. Is the approximation good? If so why? If not why not?


A supervisor at an electric bulb factory examines bulbs produced in the factory for defects. She usually finds that there are 14 defective bulbs in a week (7 days).

a. What is the probability that there are exactly 3 defective bulbs in one day?

b. What is the probability that there are less than 5 defects in a day?

c. Suppose the supervisor joins work, find the probability that 72 hours go by before she discovers her first defective bulb.


The viscosity of a fluid is to be measured by a viscometer constructed of two 3m long concentric cylinders. the inner diameter of the outer cylinder is 35cm, and the gab between the two cylinders is 0.14m.the outer cylinder is rotated at 250rpm and the torque is measured to be 1.8N determine the viscosity of fluid

According to IT department of leading financial firm, 50% of emails received by their employees are spam. They are planning to install a software which filters the spam emails. A reputable cybersecurity brand has launched a software which claims to detect 99% of spam emails. However, they have also reported 5% as the chance of detecting a nonspam email as spam. If an email is detected as spam, what is the probability of it in fact being a non-spam email? 


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