Q2. How many numbers, at a minimum, should we choose at random fromS = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20) in order to guarantee that the difference oftwo of the chosen numbers is divisible by 4?A. 2B. 3C. 4D. 5E. 6F. None of the above

Here, we have a given set and from that we have to choose the minimum numbers to guarantee that the…

Answered: Q2. How many numbers, at a minimum,…

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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A survey of 67 people in Kansas City gave the following results: 20 were fans of the Kansas City chiefs 37 were fans of the Kansas City Royals 39 were fans of the Sporting Kansas City 16 were fans of the Chiefs and Royals 8 were fans of the Chiefs and Sporting KC 21 were fans of the Royals and Sporting KC 9 were fans of none of the teams How many people were fans of the Chiefs or Royals but not Sporting KC?
The boxplots below show the number of marshmallows in a bag, as estimated by students in two elementary school classes. 250 225 200 175 150 125 100 75 50 25 0 Ms. Apple's Class Which class has more students?? A. O Ms. Apple's class B. Ms. Banana's class C. O Both classes have the same number of students. D. O It is impossible to tell from the boxplots. HI Ms. Banana's Class one answer.
List all the ways to select two members from S with repetition. The order in which the members are selected is not important. For example, DD is allowed and BA is the same selection as AB. S= {H, J, K, L, M} ....D Identify the list of all the ways to select two members from S, allowing for repetition. Choose the correct answer below. O A. HH, HJ, HK, HL, HM, JJ, JK, JL, JM, KK, KL, KM, LL, LM, MM O B. HH, HJ, HK, HL, HM, JK, JL, JM, KL, KM, LM OC. HH, HJ, HK, HL, HM, JH, JJ, JK, JL, JM, KH, KJ, KK, KL, KM, LH, LJ, LK, LL, LM O D. HK, HL, HM, JK, JL, JM, KL, KM
How many numbers are there in the set {1,2,3,...,200} which are divisible by neither 3 nor 4 nor 12?
Use the following information to answer the next question. For the set of numbers 1 to 20 inclusive, Theresa knows that some numbers are divisible by 3 and some numbers are even. She is going to write each number on a ball and place them in a box. a. Model this set using a Venn Diagram. ( b. If one ball Is randomly selected from the box, what is the probability that the number written on it is divisible by 3 or is an even number?
The Venn diagram below shows the number of students in Mrs. Crane's homeroom who were on Honor Roll, taking advanced classes or had perfect attendance for the first quarter. Honor Roll Advanced Classes 2 5 3 2 4 4 Perfect Attendance How many students are taking advanced classes and on Honor Roll, but did not have perfect attendance?
2. If there are 120 people in your college class, are there at least 5 people that share the same last initial? a. Let the pigeon holes be: b. Let the pigeons be: c. What is k? d. Now the number of pigeons would have to be greater than: e. Is the number of pigeons or people greater? Why or why not? f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not? Write your response below:
Quen: In a pharmaceutical study, two drugs (A and B) and a placebo are to be compared for effects. Fifty people are to be used in the study, of whom 20 are to receive drug A, 20 receive drug B, and the remainder receive the placebo. Assuming the people are numbered 1 to 50, how many different ways could the assignment of the drugs and placebo be made?

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Q2. How many numbers, at a minimum, should we choose at random from S = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20) in order to guarantee that the difference of two of the chosen numbers is divisible by 4? A. 2 B. 3 C. 4 D. 5 E. 6 F. None of the above