6. A certain company is ordering small parts shipped in large bins from twodifferent suppliers: supplier A and B. We know from history that 2.5% of the partssupplied by A are defective while 5% of the parts supplied by B are defective.Moreover, A supplies 3 times as many parts as B. If an employee randomly selectsa bin and a part inside that bin, what is the probability that the part came fromsupplier a given that it is defective?Your answer

Let us define some events A : the part comes from supplier A B : the part comes from supplier B. E…

Answered: 6. A certain company is ordering small…

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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Detecting terrorists is a real problem, one that causes governments to spend millions per year. A particular surveillance system has been developed which correctly identifies a future terrorist 99% of the times and detects someone who is not a future terrorist 99.9% of times. Suppose that in a population of 300 million, there are 1000 potential/future terrorists. If one of these 300 million is randomly selected and scrutinized by the system, what is the probability that the person selected is actually a future terrorist? Also explain if the value of this probability makes you uncomfortable about using a surveillance system? Explain.
3. A retailer sells two brands of batteries that experience indicates are equal in demand. If he stocks two of each brand (which means he has 4 batteries in his store), what is the probability that a customer seeking to purchase two batteries, purchases the same brand? 1/3 2/3 01/2 1/4
What is the probability of finding an H2O based compound with a blue label in a storage facility of 1,000 vials. We know there are 22 vials of H2O based compound in the facility, and that 800 of the total number of vials in the facility have blue labels.
ag I contains 2 White chips and 1 red chip and Bag II contains 2 red chips and one white chip. A chip is selected at random from g I and transferred to Bag II. Then a chip is selected at random from Bag II. If the selected chip is red, what is the probability that e transferred chip was white? 317 B 2/3 O 1/3 4/7
3
A company buys microchips from three suppliers I, II and III. Supplier I has a record of providing microchips that contain 10% defective; supplier a defective rate of 5% and supplier III has a defective rate of 3%. Suppose 10%, 40% and 50% of the current supply came from suppliers I, II and III, respectively. If a randomly selected microchip is defective, what is the probability that it came from supplier II? Express your answer accurate to two decimal places. O 48 O..40 O something else O 44 O 41
1.A family wishes to adopt 4 pets from a total of 13 dogs and 7 cats available at an animal shelter. The variable "x" being measured is the number of dogs. Show the probability distribution table, using 3 columns: one for x, one for P(x), and one for x*P(x). The second column should show calculations using C(Dt). 2. A student forum at a high school needs to elect 5 people from 10 Grade 11 students and 15 Grade 12 students who are available. The variable"" being measured is the number of Grade 12 students. Show the probability distribution table, using 3 columns: one for x, one for P(x), and one for x*P(x). The second column should show calculations involving C(Dt).
suppose that a finished product is randomly selected. What is the probability that 25%, respectively, of the products. It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, are defective. Now, In a certain assembly plant, three machines, B1, B2, and B3, make 30%, 45%, and and 2% of the products made by each machine, respectively, it is defective?
1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)
The vast majority of European vehicles sold in the world (BMW, Audi, Mercedes- Benz, etc...) receive their transmissions from either ZF Friedrichshafen AG or Continental AG. After the acquisition of TRW by ZF, ZF AG supplied 69% of transmissions, and Continental AG supplied 31%. If three European cars are randomly selected, what is the probability that 2 of the cars use ZF transmissions and 1 use Continental AG transmission? Enter your answer in percent terms (for example 12.5% must be entered as 12.5).
3. A hacker breaking into a computer system has a 15% chance of breaking into a system in 3 minutes, a 35% chance after 8 minutes, and a 50% chance after 30 minutes. What is the expected time it will take the hacker to get in?
2. The following table shows the income distribution for two groups of people in a country: those who declare to belong to a faith, and those who declare to be free thinkers. Income bracket Middle 13278 2225 Religious outlook Faith believer Free thinker Lower 7940 1241 Upper 4527 813 (a) A person is randomly selected from the group, find the probability that this person is a (i) free thinker. (ii) free thinker given that he/she has middle income. (iii) faith believer or he/she has lower income. (b) Are the events "Free thinker" and "Middle income" independent? Explain your answer. (Note: Round the probabilities to two significant figures)

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