Quality Control: A company has four photocopy machines A, B, C and D. The probability that a given machine will break down on a particular day isP(A) = %50P(B) = 15P(C) = 1⁹/100P(D) = 11/100Assuming independence, what is the probability on a particular day that all machines will break down?O 0.00000360O 0.01000000O 0.13290803O 0.00075240O 0.00132908

The company has four photocopy machines, namely A, B, C, and D.

Answered: Quality Control: A company has four…

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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Show work for every step. Two types of customers (Preferred and Regular) call a service center. Preferred customers call with rate 3 per hour, and Regular customers call with rate 5 per hour. The interarrival times of the calls for each customer type are exponentially distributed. If the call center opens at 8:00 AM, what is the probability that the first call (regardless of customers type who calls) is received before 8:15 AM?
Rework problem 29 from section 4.1 of your text about the professor who sometimes forgets to bring her briefcase to the office, but assume that, each day, the probability that she forgets the briefcase is 1/8. Assume that her forgetting is a Bernoulli process. (1) What is the probability that she remembers to bring her briefcase every day in one week (5 days)? (2) What is the probability that she forgets to bring her briefcase every day in one week (5 days)? (3) What is the probability that she forgets to bring her briefcase at least one day in one week (5 days)?
Question 14 Suppose that P(A) = 0.29, P(B) = 0.66, and P(B|A) = 0.13. Find the probability that %3D %3D both A and B occur. Question 15 MacBook Air 吕0 888 F3 F4 F5 F6 F7 F8 #3 $ * 4 7 8 E Y F
QUESTION 1 The same scenario is used for all questions. New parents in a little town buy two major brands of infant formulas, labeled A and B. After some intensive study, a marketing researcher for one of the manufacturers found that the probability of parents purchasing A or B is based on the parents' most recent purchase. Suppose that the following transition probabilities are appropriate O Probabilities of Parents Purchasing A or B From A To A To B O A B B Which of the following is the correct two period tree diagram for a customer who last purchased Brand A? O A 0.75 A 0.20 0.25 0.75 0.75 0.25 0.25 0.75 A B A B A 0.25 B 0.80 0.75 0.25 0.20 0.80 0.75 0.25 0.20 0.80 0.25 0.75 0.20 0.80 A B A B A B A B A B A B (0.25)(0.75)-0.1875 (0.25)(0.25) 0.0625 (0.75)(0.20) 0.1500 (0.75)(0.80)-0.6000 (0.75)(0.75)=0.5625 (0.75)(0.25)-0.1875 (0.25)(0.20)-0.0500 (0.25)(0.80)-0.2000 (0.25)(0.25) 0.0625 (0.25)(0.75)-0.1875 (0.75)(0.20) 0.1500 (0.75)(0.80) 0.6000
Question 4 Suppose that in a population of twins, males (M) and females (F) are equally likely to occur and that the probability that twins are identical is 0. If twins are not identical, their genders are independent (if they are identical, their genders are the same). (i) Show that, ignoring birth order, P(MM) = P(FF) = (1+0)/4 and P(MF) = (1–0)/2. (ii) Suppose that n twins are sampled. It is found that n₁ are MM, n2 are FF, and në are MF, but it is not known which twins are identical. Find the maximum likelihood estimator of 0.
Question 2: Exponential distribution The distance X between two successive faults in a metallic wire is an exponential random variable with parameter A = 1.3 faults per cm (centimeter). Answer the following questions. 1. Calculate the probability of P(X<1) 2. Find the probability of P(o.9 < Xs 1.7) 3. Calculate the probability that the distance between two successive faults will be greater than 3 mm (millimeters)
You are planning to go fishing with two friends. The time (in hours) before you catch a fish is exponentially distributed with parameter 6. How long do you need to arrange for the fishing so that there is a 95% probability that everyone catches at least one fish? [Assume that the events that each person catches a fish are independent.]

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