Clerks A, B, and C process 50%, 20%, and 30% of the sales orders, respectively. The percentage of errors made in processing a sales order by Clerks A, B, and C are 2%, 5%, and 10%, respectively. A sales order is audited and found to be in error. What is the probability that this invoice was processed by Clerk C?

Clerks A, B, and C process 50%, 20%, and 30% of the sales orders, respectively. The percentage of errors made in processing a sales order by Clerks A, B, and C are 2%, 5%, and 10%, respectively. A sales order is audited and found to be in error. What is the probability that this invoice was processed by Clerk C?

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

Related questions

Q: Richie’s Insurance Company offers a $250,000 life insurance policy for a premium of $750 per year.…

A: Expected value :- E(X) = ∑xP(x)

Q: Suppose the probability of an IRS audit is 2.0 percent for u.s taxpayers who file form 1040and who…

A: Given information- The probability of an IRS audit is 2.0 percent for U.S taxpayers. So, Number of…

Q: An investment counselor calls with a hot stock tip. He believes that if the economy remains strong,…

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

A: From the given information p = 0.20 and n = 15.

Q: A credit card company has a 0.01 default rate on its accounts. If 20 randomly selected accounts are…

A: Given information:A credit card company has a 0.01 default rate on its accounts. 20 randomly…

Q: An investment counselor calls with a hot stock tip. He believes that if the economy remains strong,…

A: From the provided information, Profit when economy remains strong = $60,000 Profit when economy grow…

Q: According to Costco's records, 25% of customers who make a purchase return the item for a refund or…

A: Given n=10 P=0.25

Q: According to a recent national survey, 49% of students who attend a public university graduate with…

A: p = proportion of graduates had at least $ 15000 of debt. p = 0.49n = 200P(p^≥0.55) = ?

Q: An investment counselor calls with a hot stock tip. He believes that if the economy remains strong,…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: Suppose that a magnet high school includes grades 11 and 12, with half of the students in each…

A: Probability that student is junior = P(J) = 0.5 Probability that student is Senior = P(S) = 0.5…

Q: An investment counselor calls with a hot stock tip. He believes that if the economy remains strong,…

A: Let X be a discrete random variable. They can take any values,x1,x2...........xn, with probability…

Q: Of the cartons produced by a company, 9%have a puncture, 3% have a smashed corner, and 0.5%…

A: Given : Let A : Cartons has a puncture P(A) = 9% = 0.09 Let B : Cartons has a smashed corner P(B) =…

Q: Given that a Condo is purchased, what is the probability the mortgage is Adjustable?

A: The given summarized table is, From the table, The probability of condo is purchased is,

Q: Given P(A) = 0.10, P(B) = 0.36, P(C) = 0.27 and that events A, B, and C are independent, what is…

A: Independent Events: Any three events A , B and C are said to independent if the occurrence of the…

Q: Suppose that you and two friends go to a restaurant, which last month filled approximately 90.9% of…

Q: For a story she is writing in her high school newspaper, Grace surveys moviegoers selected at random…

A: There are two categorical variables which are rating and age. Rating has 2 types which are thumbs up…

Q: Suppose the probability of a IRS audit is 2.1% for U.S. taxpayers who file form 1040 and who earned…

Q: A collector has captured thirty-one Anachronism-type small monsters. Each Anachronism-type small…

A: Let A denote the event of the monster being a Phlogiston-subtype, B denote the event of the monster…

Q: a. What is the probability that all three projects will come in under budget? b. What is the…

A: It is given that the projects for three different clients. Each project’s outcome is independent of…

Q: n investment counselor calls with a hot stock tip. He believes that if the economy remains strong,…

A: Given the investment will result in a profit of $30,000. If the economy grows at a moderate pace,…

Q: An investment counselor calls with a hot stock tip. He believes that if the economy remains strong,…

Q: How am I able to do problem 25(c) on a TI-83 calculator?

A: In this context, X has a Binomial distribution with parameters n = 14 and p = 0.04. Since X is a…

Q: Suppose the probability of an IRS audit is 1.4 percent for U.S. taxpayers who file form 1040 and who…

A: Given : Suppose the probability of an IRS audit is 1.4 percent for U.S. taxpayers who file form 1040…

Q: An investment counselor calls with a hot stock tip. He believes that if the economy remains strong,…

A: It is given that an economist who believes there is a 20% probability the economy will remain…

Q: Suppose that a magnet high school includes grades 11 and 12, with half of the students in each…

A: The objective of this question is to find the probability that a randomly selected calculus student…

Q: Given P(A) = 0.71, P(B) = 0.56, P(C) = 0.26 and that events A, B, and C are independent, what is…

A: We have given that P(A) = 0.71, P(B) = 0.56, P(C) = 0.26 and that events A, B, and C are…

Q: We are interested in analyzing data related to college football. Use S to denote the team is in the…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

4G+
6:29 PM ě
0.1KB/s ll 77
01:32:50 Remaining
Multiple Choice
Clerks A, B, and C process 50%,
20%, and 30% of the sales orders,
respectively. The percentage of errors
made
in processing a sales order by Clerks
A, B, and C are 2%, 5%, and 10%,
respectively. A sales order is audited
and found to be in error. What is
the probability that this invoice was
processed by Clerk C?
O 0.30
O 0.60
O 0.10
0.03
40 of 64
II

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Notations

VIEW

Calculations

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Conditional Probability, Decision Trees, and Bayes' Theorem$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Your insurance company has a policy to ensure personal property. Assume you have a laptop worth $2,400 and there's a 4% chance that the laptop will be lost or stolen during the next year. What would be a fair premium for the insurance? We are assuming that the insurance company earns no profit
A life insurance company has found a 3% probability that a randomly selected application contains an error. Assume applications are mutually independent. An auditor randomly selects 100 applications. What is the probability that 95%, or less, of the selected applications, are error free?
An insurance company has written 50 policies for $125,000, 100 policies for $30,000, and 250 policies for $10,000 for people of age 20. If experience shows that the probability that a person will die at age 20 is 0.0012, how much can the company expect to pay out during the year the policies were written?
An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $40,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if the economy goes into recession, the investment will result in a loss of $40,000. You contact an economist who believes there is a 20% probability the economy will remain strong, a 70% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment?
A box contains one each of $1, $5, $10, $20, and $100 bills. It costs $12 to reach in and withdraw one bill. What is the expected value? $
16 percent of the customers of a mortgage company default on their payments. A sample of 5 customers is selected. What is the probability that exactly 2 customers in the sample will default on their payments? Answer:
Alex, Natasha, and Juan fill orders in a fast-food restaurant. Alex incorrectly fills 20% of the orders he takes. Natasha incorrectly fills 12% of the orders she takes. Juan incorrectly fills 5% of the orders he takes. Alex fills 30% of all orders, Natasha fills 45% of all orders, and Juan fills 25% of all orders. An order has just been filled. A. If the order was filled by Juan, what is the probability that it was filled correctly? B. Who filled the order is unknown, but the order was filled incorrectly. What are the revised probabilities that Alex, Natasha, or Juan filled the order? C. Who filled the order is unknown, but the order was filled correctly. What are the revised probabilities that Alex, Natasha, or Juan filled the order?
Given P(A) = 0.10, P(B) = 0.63, P(C) = 0.53 and that events A, B, and C are independent, what is P(A, B, and C). Answer in decimal form. Round to 3 decimal places as needed.
An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $40,000. If the economy grows at a moderate pace, the investment will result in a profit of $20,000. However, if the economy goes into recession, the investment will result in a loss of $40,000. You contact an economist who believes there is a 20% probability the economy will remain strong, a 70% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment?