Example 8.20 A manufacturing firm is engaged in the production of steel pipes in its three plants witha daily production of 1,000, 1,500 and 2,500 units respectively. According to the past exp 'rience, it isknown that the fractions of defective pipes produced by the three plants are respectively 0.04, 0.09 and 0.07. If a pipe is selected from a day's total production and found to be defective, find out (a) fromwhich plant the defective pipe has come, and (b) what is the probability that it has come from thesecond plant?

Answered: Image /qna-images/answer/2ae2f7c5-d10a-416b-ad06-2665be102727.jpg

Answered: D.07. If a pipe is selected from a…

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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The three-year recidivism rate of parolees in a certain state is about 20%; that is, 20% of parolees end up back in prison within three years. Assume that whether one parolee returns to prison is independent of whether any of the others return. Complete parts a and b below. Find the probability that exactly 6 out of 20 parolees will end up back in prison within three years. The probability that exactly 6 out of 20 parolees will end up back in prison is nothing.
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
(i) If volume is high this week, then next week it will be high with a probability of 0.8 and low with a probability of 0.2.(ii) If volume is low this week then it will be high next week with a probability of 0.3.Assume that state 1 is high volume and that state 2 is low volume. Question: What is the probability that volume will be high for three consecutive weeks?
#4 needed
Find the probability of the indicated event if P(E)=0.40 and P(F)=0.55. Find P(E or F) if P(E and F)=0.20. P(E or F)= _____
A doctor is seeking an anti-depressant for a newly diagnosed patient. Suppose that, of the available anti-depressant drugs, the probability that any particular drug will be effective for a particular patient is p = 0.32. What is the probability that the patient will need toa. take 4 different drugs until the effective one is found. b. take 5 different drugs until the effective one is found. c. take 7 different drugs until the effective one is found.
Q1. Some couples planning a new family would prefer at least one child of each sex. The probability that a couple’s first child is a boy is 0.512. In the absence of technological intervention, the probability that their second child is a boy is independent of the sex of their first child, and so remains 0.512. Imagine that you are helping a new couple with their planning. If the couple plans to have only two children: What is the probability that at least one girl is born?
Iim. 12
Question 26 Renee buys a bag of cookies that contains 5 chocolate chip cookies, 7 peanut butter cookies, 5 sugar cookies, and 5 oatmeal cookies. What is the probability that Renee reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects a sugar cookie? Round your answer to four decimal places.

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D.07. If a pipe is selected from a day's total production and found to be defective, find out (a) from which plant the defective pipe has come, and (b) what is the probability that it has come from the second plant?