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 iscorrect,: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 answerswrong?

If a multiple-choice test consists of 7 questions, each with 4 possible answers of which only 1 is…

Answered: Q2.6. (based on Problem 2.33; page 52)…

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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number of moving glasses by half. Here is another classical problem similar to the one just described but a little more difficult. There are n things lined up next to another n things like this : XXX.....OOO........ However, we define a different way to "move", where you can only move any pair of neighbouring items to an empty space in a row, and you can't change the left-right order of the items. Then, let we think, it is meaningless when n=1, and when n=2 it is no answer. When n=3,the solution process is as follows. XXXOOO XOOOXX XOO XOX OXOXOX ,it should look like this, and we can move .. So when n > 2,we should at least move n times to solve the problem, could you formulate the solution process for n greater than or equal to 3?
A student in a statistics class is going to select 5 of her classmates to ask a survey question. Of her 19 classmates, there are 8 students who live on campus and 11 students who live off campus. (a) In how many ways can she select 5 classmates if the number of students who live off campus must be greater than 2? (b) In how many ways can she select 5 classmates if the number of students who live off campus must be less than or equal to 2?
In a certain class of 25 students, 12% received A’s, 30% received B’s, 42% received C’s, and 12% received D’s. How many students failed the class?
Question 1. A small town has 1,000 residents. The residents in the town were asked whether or not they favored building a new bridge across the river. You are given the following information on the residents' responses, broken down by sex. In Favor Opposed Total Men Women Total 200 400 600 300 100 400 500 500 1,000
If P(A)=0.9, P(B) = 0.1, and A and B are independent, find P(A and B). P(A and B) = (Type an integer or a decimal.)
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
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