Problem 2. To fulfill the requirements for a certain degree, a student can choose to takeany 7 out of a list of 20 courses, with the constraint that at least 1 of the 7 courses mustbe a statistics course. Suppose that 5 of the 20 courses are statistics courses. How manychoices are there for which 7 courses to take?

There are 20 courses in total. One has to choose 7 out of 20 courses such that at least one of them…

Answered: Problem 2. To fulfill the requirements…

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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alow.P many ways can they sit in a row if the boys and girls are each to sit together? (c) In how many ways can they sit in a row if just the girls are to sit together? 5. How many different signals, each consisting of 6 flags hung in a vertical line, can be formed from 4 identical red flags and 2 identical blue flags? In how many ways can a committee consisting of 3 men and 2 women be chosen from 7men and 5 women? alactod each vear from college to attend the National Student
Q2.6. (based on Problem 2.33; page 52) (1) If a multiple-choice test consists of 7 questions, each with 4 possible answers of which only 1 is correct,: a. in how many different ways can a student check off one answer to each question? b. in how many ways can a student check off one answer to each question and get all the answers wrong?
3B.3.3 Please refer to the attached image for my question!
I have a cup with 5 red M&Ms, 4 yellow, and 3 green ones. I draw six at random (without replacement, order does not matter).How many ways are there to draw six at random which give two of each color? For this problem, it can help to imagine that the M&Ms are numbered 1 - 12, with number 1-5 red, 6-9 yellow, and 10-12 green. After that, proceed like we did with Poker hands.
Suppose that A E Mmxn(R) is a matrix of user ratings of various movies (on a scale of 1 to 5). Suppose we have computed the SVD of А, and decided to keep the 10 largest singular values as the most important determining factors for a user's choice of movie. Suppose also that a new user has joined the movie subscription service, and has rated some, but not all, of the movies. To predict how this new user will rate other movies (and thus, to determine which ones to recommend), all movies the user has not watched are assigned the average rating for that movie given by all users to form a new matrix A' E M(m+1)xn(R), and the rank-10 approximation of A' is computed from its SVD. The values in the approximation to A' are taken as the predicted ratings for the new user. Given this procedure, which of the following conclusions is most correct?
Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 27?”You conduct a bind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and then asked to disclose which drink they prefer. Results of your taste test indicate that 51 of 100 individuals prefer Cola 2. Complete parts a through c.
2.). Suppose a student earned grades of 92, 73, 85, 62 and 74 on five quizzes, a grade of 86 on her final, and an 89 on her class project. The five quizzes count for 65% of the grade (each quiz carries the same weight), the final counts for 25%, and the project counts for 10%. What weighted grade would the student earn in the course, rounded out one decimal placce? 74
Two players play a game with the following rules: Player 1 puts on a blindfold while player two throws a die. The number that he gets is put aside as the "Target value". Then player two throws another die three times while giving player 1 information on weather he gets a lesser number than the target, equal to the target or greater than the target. Imagine that you are player one and you are handed the information that player two got [Lesser, equal, greater]. Deduce the probabilities of each possible target given the information.

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