1) Additive RuleLet S represent the sample space of classrooms on a college campus. Consider the followingevents:A = classroom remodeled within the last 5 yearsB = classroom has two doorsC = classroom capacity does not exceed 50 studentsAn industrial engineering student surveys the campus and determines the followingprobabilities:P(A) = 0.2, P(B) = 0.7, P(C) = 0.4P(An B) = 0.2, P(An C) = 0.0, P(BNC) = 0.3a) Find P(An B nC).b) Find P(AU BUC).

we are going to find the value of the given probability by the help of their formula

Answered: ) Additive Rule Let S represent the…

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...

See similar textbooks

Similar questions

Suppose that 84% of all customers who use the service department at a certain automotive dealership would recommend the service to a friend. A random sample of 50 customers is taken. Canwe use the Normal distribution to compute probabilities about the sample proportion of thosewho would recommend the service to a friend? Why or why not?
4. Michael is running for president. The proportion of voters who favor Michael is 0.8. A simple random sample of 100 voters is taken. Assume that n/N < 0.05.
Sample space S is partitioned into E₁, E₂, E3, and E4 such that P(E₁)=0.12, P(E₂)=0.09, and P(E3) = 0.49. a. Find P(E4). b. Find the odds in favor of and the odds against E4 occurring. a. P(E4)= (Simplify your answer.) b. The odds in favor of E4 occurring, in lowest terms, are (Type whole numbers.) The odds against E4, in lowest terms, are (Type whole numbers.)
A machine uses electrical switches that are known to have a 3% fail rate for each use. The machine uses three switches, and each switch is independent. (a) How many outcomes are there in the sample space? 8 (b) Let x = the number of failed switches in one run of the machine. How many possible values of x are there? 4 (c) What is the probability of exactly one switch failing in one run of the machine?. 0.0847 X There is more than one way for one switch to fail in one run of the machine. (d) If the probability of no switches failing is 0.912673 and the probability of all switches failing is 0.000027, then complete the probability distribution table for x. X p(x) 0.912673 0 Need Help? Read It 0.084681 1 ✓ 0.002619 2 0.000027 3
Match the sample space for compound events based on a psychology study. The first card shown is a person or an object. The second 1. card shown is red, green, or blue. sample space of size 10 The first card shown is a person or an object. The second 2. sample space of size 4 card shown is red, green, black, or blue. The first card shown is red or green. The second card shown 3. is a person or an object. sample space of size 8 The first card shown is red, green, black, blue, or yellow. The 4. second card shown is a person or an object. sample space of size 6
Blood Types and Rh Factors In addition to being grouped into four types, human blood is grouped by its Rhesus (Rh) factor. Consider the figures below that show the distributions of these groups for Americans. A B АВ Rh + 37% 34% 10% 4% Rh - 6% 6% 2% 1% Source: www.infoplease.com Send data to Excel Choose 1 American at random. Find the following probabilities. Enter your answers as decimals rounded to 3 decimal places.
Workers of an insulation manufacturer are undergoing testing for asbestos traces in their lungs. Three employees with positive traces are requested to be sent to a medical center for more testing. Suppose that 40% of workers are positive for asbestos traces. What is the probability that ten workers should be tested to find three positives? Random Variable: Distribution: Computation:
A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers living on one particular street, 3 were involved in a car accident last year. If 10 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? O a. O b. O C. O d. 0.4435 0.9548 0.0541 0.0452
Suppose that more than a decade ago high levels of lead in the blood put 82% of children atrisk. A concerted effort was made to remove lead from the environment. Suppose, accordingto a survey, only 9% of children in the United States are at risk of high blood-lead levels. In arandom sample of 100 children taken more than a decade ago, what is the probability that 70or more had high blood-lead levels? Group of answer choices 0.867 0.839 1.000 0.000 0.117
6. A study was conducted to determine the number of emergency calls per day received by the Conestoga Valley Fire Company. The data are shown here: # of phone calls Frequency 5 7 8 28 32 21 10 (a) Construct a probability distribution for the number of phone calls. (b) Find the mean number of phone calls, rounded to the nearest tenth.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS