Problem 5. In a can manufacturer factory, assembly lines A, B and C account,respectively, for 50%, 35% and 15% of the total output. Moreover, it is known also that0.6%, 0.3% and 0.1% of defective cans are coming from lines A, B and C, respectively.If a can is selected randomly, calculate the probability of getting:a) a defective can;b) a good can;c) a can coming from line B, if it is known that it is defective.

Let us define some events A : a can coming from line A B : a can coming from line B C : a can…

Answered: If a can is selected randomly,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Of the 8000 students in Hunter College, 5000 takes statistics, 2600 takes chemistry, and 800 takes both. Suppose a random student is selected. What is the probability that he/shea) Takes neither? b) Takes statistics but not chemistry?
A random sample of 250 working adults found that 74% access the Internet at work, 88% access the Internet at home, and 72% access the Internet at both work and home. a) Find the probability that a person in this sample selected at random accesses the Internet at home or at work? b) Find the probability that a person in this sample selected at random accesses the Internet at home only? c) How many people in this sample do not access the Internet at work or at home?
A data from a college shows that a certain exam has 10% passing rate. If 4 students take this exam, Find: a) probability that all of them pass it b) probability that no one pass it c) probability that at least one of them fails
In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of the juniors are males. If the student is selected at random, find the probability of selecting the following: a) A junior or a female b) A senior or a female c) A junior or a senior d) A female e) A junior female f) A junior female or a senior male g) A male or a junior female
Suppose a student is randomly selected. The probability that the student is a senior is 0.22. The probability that the student has a driver's license is 0.30. If the probability that the student is a senior and has a driver's license is 0.16, what's the probability that the student isn't a senior and doesn't have a driver's license? a)0.06 b)0.14 c)0.64 d)0.70 e)0.78
5. Brett is off to college . There are 1000 additional new male students, and one of them will be randomly assigned to Share Brett's dorm room. He is hoping that it won't be someone who like s to party or who snores. Use the table below to answer the following questions: Snores (S) Doesn't Snore (DS) | Total 150 Likes to Party (LP) Doesn't Like to Party (DP) Total 250 200 350 550 750 650 1000
The probability that a person owns a car is 0.85, that a person owns a laptop is 0.45, and that a person owns both a car and a laptop is 0.35. If a person is selected at random, a) Find the probability that the person owns either a car or a laptop. b) Find the probability that the person has a laptop given that he has a car also. c) Find the probability that the person has neither a car nor a laptop. d) Show that the events 'own a car' and 'own a laptop' are not independent.
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A store purchases baseball hats from two different manufacturers in 3 different colors, summarized below. One hat is chosen at random. Give your answer as a decimal out to at least 4 places. Black Blue Red Total Manufacturer A 13 29 15 57 Manufacturer B 19 16 14 49 Total 32 45 29 106 a) Find the probability that the hat was was Red or was from Manufacturer B. b) Find P(RedC). c) Find P(Manufacturer B and Red). d) Find P(Manufacturer B or Red).
A toy manufacturer inspects boxes of toys before shipment. Each box contains 19 toys. The inspection procedure consists of randomly selecting three toys from the box. If one or more of the toys are defective, the box is not shipped. Suppose that a given box has two defective toys. What is the probability that it will be shipped? a) 0.5201 b) 0.0175 c) 0.7018 d) 0.5635 e) 0.2982 f) None of the above.
For the treatment of herniated cervical disk in neck, it is found that 22% of patients go to both a massage therapist and to a chiropractor, and 12% of the patients go to neither of these treatments. In addition, the probability of going to a chiropractor is greater than the probability of going to a massage therapist by 0.14. Using this information, determine the probability that a randomly selected patient goes to a massage therapist. a) 0.38 b) 0.68 c) 0.58 d) 0.48 e) None of the answers are correct
Q1) In a video game factory, machines A, B and C manufacture 20%, 30% and 50% of the total output, respectively. Also 5%, 3% and 7% of their outputs are defective, respectively.A video game is selected at random, calculate the probability that a) Video game is defectiveb) The defective video game is produced by machine Ac) The defective video game is produced by machine Bd) The defective video game is produced by machine C

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If a can is selected randomly, calculate the probability of getting: a) a defective can; b) a good can; c) a can coming from line B, if it is known that it is defective.