Chapter 3: Q99SE (page 203)
Given that and, findlocalid="1662699184645" .
Short Answer
The value of P(B) is 0.5.
Chapter 3: Q99SE (page 203)
Given that and, findlocalid="1662699184645" .
The value of P(B) is 0.5.
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Get started for freeDetecting traces of TNT.University of Florida researchersin the Department of Materials Science and Engineering have invented a technique to rapidly detect traces of TNT (Today, Spring 2005). The method, which involves shining a laser light on a potentially contaminated object, provides instantaneous results and gives no false positives. In this application, a false positive would occur if the laser light detects traces of TNT when, in fact, no TNT is actually present on the object. Let A be the event that the laser light detects traces of TNT. Let B be the event that the object contains no traces of TNT. The probability of a false positive is 0. Write this probability in terms of A and B using symbols such asand |.
For two independent events, A and B, P (A) = .4 and P(B) = .2 :
a. Find
b. Find P (A/B)
c. Find
Degrees of best-paid CEOs.Refer to the results of the Glassdoor Economic Research (August 25, 2015) survey of the top 40 best-paid CEOs shown in Table 2.1 (p. 65). The data on the highest degree obtained are summarized in the SPSS printout below. Suppose you randomly select five of the CEOs (without replacement) and record the highest degree obtained by each.
a.What is the probability that the highest degree obtained by the first CEO you select is a bachelor’s degree?
b.Suppose the highest degree obtained by each of the first four CEOs you select is a bachelor’s degree. What is the probability that the highest degree obtained
by the fifth CEO you select is a bachelor’s degree?
Simulate the experiment described in Exercise 3.7 using any five identically shaped objects, two of which are one colour and the three another colour. Mix the objects, draw two, record the results, and then replace the objects. Repeat the experiment a large number of times (at least 100). Calculate the proportion of time events A, B, and C occur. How do these proportions compare with the probabilities you calculated in Exercise 3.7? Should these proportions equal the probabilities? Explain.
World’s largest public companies. Forbes (May 6, 2015) surveyed the 20 largest public companies in the world. Of these 20 companies, 4 were banking or investment companies based in the United States. A total of 9 U.S. companies were on the top 20 list. Suppose we select one of these 20 companies at random. Given that the company is based in the United States, what is the probability that it is a banking or investment company?
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