Components of a certain type are shipped to a supplier in batches of ten. Suppose that 51% of all such batches contain no defective components, 29% contain one defectivecomponent, and 20% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2defective components being in the batch under each of the following conditions? (Round your answers to four decimal places.)(a) Neither tested component is defective.no defective componentsone defective componenttwo defective components(b) One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.]no defective componentsone defective componenttwo defective components

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Answered: Components of a certain type are…

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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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
Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car ) = 0.25 P(those who buy a European car) = 0.30 P(those who neither buy a new car nor an European car ) = 0.58 Find the probability that next customer buys a new European car?
At the Washington University 35%, 25% and 40% of the students in Calculus are taught by Prof. A, Prof. B and Prof. C, respectively. The respective probabilities of failing in Calculus for the three professors are 6%, 7% and 5%. A student in Calculus in the previous semester was randomly selected and was found out to have failed in the subject. Under which class most likely did he belong?
A circuit operates as long as there is a functional path, which does not include any dysfunctional (broken) switches on its path, between 1 and 2. The probabilities that the switches A, B, and Y are not functioning or broken (Failure, F) are 12%, (22)%, and (13)%, respectively (as shown in the figure below). The switches function independently. What is the probability that the circuit operates successfully (Success, S) from 1 to 2?
A circuit operates as long as there is a functional path, which does not include any dysfunctional (broken) switches on its path, between 1 and 2. The probabilities that the switches A, B, and Y are not functioning or broken (Failure, F) are 12%, (20+I)%, and (10+H)%, respectively (as shown in the figure below). The switches function independently. What is the probability that the circuit operates successfully (Success, S) from 1 to 2? H is 3 and I is 2
1. A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom is left-handed. The two pupils are to be chosen at random from the class to act as monitors. Calculate the probabilities that the chosen pupils will consist ofa. One girl and One boyb. One girl who is left-handed and one boy who is left-handedc. Two left-handed pupils
A retailer of automobile parts has four employees, K, L, M, and N, who make mistakes in filling an order one time in 100, four times in 100, two times in 100, and six times in 100. Of all the orders filled, K , L, M, and N fill, respectively, 20%, 40%, 30%, and 10%. If a mistake is found in a particular order, what are the probabilities that it was filled by K, L, M, or N?
Q. 1 It is estimated that 80% of emails are spam emails. Some software has been applied to filter these spam emails before they reach our inbox. A certain brand of software claims that it can detect 99% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 5%. Now if an email is detected as spam, then what is the probability that it is in fact a non-spam email? event A: email is spam; event B: email is detected as spam. Assume that
A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only oneof them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).Suppose that the student was unable to find time to study for the exam and just guesses at eachquestion. Find the probabilities for the two events below.i. the student gets exactly 3 questions correct.ii. the student passes the exam
Problem (2): TV or a DVR? A consumer electronics company has observed that 36% of their customers purchased an LED screen television, 26% of their customers purchases a DVR, and 12 percent of their customers purchased both an LED screen TV and a DVR. Find the probability that a randomly chosen customer either purchases a plasma screen TV or a DVR.
1. The picture's river has floodgates at points A, B, C and D. The probabilities of each of the floodgates being open (a requirement for water to pass through) are the following: A: 94%, B : 96%, C: 91%, D: 97% The probabilities of the floodgates being open are independent. What is the probability that the water from the leftmost point in the picture will reach the sea on the right? C D B THE SEAL
Components of a certain type are shipped to a supplier in batches of ten. Suppose that 49% of all such batches contain no defective components, 32% contain one defective component, and 19% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions? (Round your answers to four decimal places.) (a) Neither tested component is defective. no defective components one defective component two defective components (b) One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.] no defective components one defective component two defective components

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