Out of a group of 60 people, 20 invested in stock market, 35 had certificates of deposit, and 34 had saving bonds. Furthermore, 23 had both certificates of depositand saving bonds, 13 had both stocks and certificate of deposit, and 13 had both saving and stocks. Finally, 10 of the people have no investments.1. How many people had only certificates of deposits?2. How many people had all three types of investments?

Let S denote the event of someone investing in stocks, D denote the event of someone investing in…

Answered: Out of a group of 60 people, 20…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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9. In a batting cage, a young future slugger is swinging for the cheap seats-counting the number of pitches from one "home run" (in her mind) to the next: for instance, if she counts 4, it means it took her 4 pitches to get her first home run after she hit the last one. For 20 independent "home runs," her counts were: 3, 6, 2, 16, 12, 4, 4, 5, 15, 11, 3, 3, 2, 1, 8, 11, 5, 1, 2, 1. Assuming that these data can be looked upon as a random sample from a geometric population, a) Derive the maximum likelihood estimator for the geometric distribution's parameter 0. b) Estimate the parameter for the population the given sample was drawn from. Interpret your result (this interpretation should include what the pertinent population is for this problem; what, then, the parameter would represent, etc.)
A financial institution, Kumpannee, has two departments. Department A has 8 individuals and Department B has 9 individuals. Kumpannee needs to select a team of 5 individuals to produce a forecast on the price of a barrel of crude oil. How many different teams are possible if at most 1 team member should come from Department A? O a. 18,144 ОБ.1,134 O c. 579 O d. 39,312 e. 252
6. Among the Grade 11 students in a certain school, - belong to the Science Club, 15% belong to the Music Club, - belong to the Mathematics Club, - belong to the English Club, 5% are members of the swimming team, while the remaining 24 do not belong to any of the above co-curricular organizations. If no student belongs to more than one organization, determine the number of students who belong to each club or organization.
3. A company checks its managers and find that 70 of them have an undergraduate degree in Business, 30 have an undergraduate degree in business and a Masters in Business, and 45 have only A Masters in Business. 20 others have neither degree. How many managers are in this company?
4. Consider a lottery ticket with 60 numbers. To buy a ticket, you need to choose 5 of these numbers. Each lottery ticket costs $1. How big must the prize be to justify buying all possible tickets?
Twenty automobiles enter a race. Eight are made by manufacturer A, seven by manufacturer B, and the rest by manufacturer C. Keeping track of only the manufacturer of the cars, in how many ways can the cars cross the finish line?
A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with three different members. There are 16 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below. a. How many different ways can the officers be appointed? There are different ways to appoint the officers. b. How many different ways can the committee be appointed? There are different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates? P(getting the three youngest of the qualified candidates) = (Type an integer or a simplified fraction.)
Of the 196 students in the entering class at Lakeside Community College, 100 of them plan to participate in sports, 85 in student government, and 55 in the theater arts. 27 indicated they would participate in sports and student government, 24 in sports and theater arts, 14 in student government and theater arts, and 10 said they will take part in all three of the extracurricular activities. How many will not participate in any of the three extracurricular activities?
2. The college's soccer team will play II games next fall. Each game can result in one of three outcomes: a win, a loss, or a tie. Find the total possible number of outcomes for the season record.

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