1/6.A manufacturer of cotter pins knows that 5 percent of hisproduct is defective. If he sells pins in boxes of 100 and guarantees that nomore than 10 pins will be defective, what is the approximate probability thata box will fail to meet the guaranteed quality.

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Answered: 6. A manufacturer of cotter pins knows…

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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Q2. Determine the number of times a fair coin must be tossed so that the probability of the ratio of the number of tails to the number of tosses being less than 0.4 or greater than 0.6 does not exceed 0.1
Alex decides to go to a casino and play his 3 favorite slot machines. He knows from experience that his chances for coming out ahead and having won money after playing 20 times on a machine is 0.42, 0.55, and0.59 for the three slot machines. Find the probability that after playing each machine 20 times that he will have won money on at least one slot machine. Your answer should be to 4 decimal places.
In a communication channel, data is sent in 10-bit packets. The percentage of a bit sent with error on this channel is 5% and the errors are independent from each other. When 6 packets (1 packet 10 bits) are sent from this channel, what is the probability that at least 1 packet contains three or more bad bits? calculate.
Wyatt buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 8 sugar cookies and 6 oatmeal cookies. What is the probability that Wyatt 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 an oatmeal cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.
A construction company employs two sales engineers. Engineer 1 does the work of estimating cost for 70% of jobs bid by the company. Engineer 2 does the work for 30% of jobs bid by the company. It is known that the error rate for engineer 1 is such that 0.02 is the probability of an error when he does the work, whereas the probability of an error in the work of engineer 2 is 0.04. Suppose a bid arrives and a serious error occurs in estimating cost. What is the probability that Engineer 1 did the work?
Alfonso buys a bag of cookies that contains 5 chocolate chip cookies, 5 peanut butter cookies, 8 sugar cookies and 9 oatmeal raisin cookies. What is the probability that Alfonso randomly selects an oatmeal raisin cookie from the bag, eats it, then randomly selects another oatmeal raisin cookie? (Round your answer to 4 decimal places.)
A new automated production process has been averaging 2 breakdowns per day (assume 8 hours of operation per day) . What is the probability that the process can run a full 8-hour shift without a breakdown?
From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
There are two bags containing several colored balls. The bag B, contains 10 red balls, 12 blue balls, and 13 green balls. The bag B, contains 20 red balls, 19 blue balls and 19 green balls. A student of your class wanted to draw 1 red ball and 3 blue balls. i. If he has the option to draw from only bag B1, what is the probability of drawing the four balls? [Give your answer upto 4 decimal places] ii. If he can choose any bag in an equiprobable manner, what is the probability of drawing the four balls in this case? [Give your answer upto decimal places] 4
For 10 percent of the products in a category, a firm fails to satisfy all demand during themonth. What is its in-stock probability?
Ezra buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 4 oatmeal cookies.What is the probability that Ezra reaches in the bag and randomly selects a peanut butter cookie from the bag, eats it, then reaches back in the bag and randomly selects a chocolate chip cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.
From observations of the weather, it is known that on October 20 the probability of rain is 0.25. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?

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6. A manufacturer of cotter pins knows that 5 percent of his product is defective. If he sells pins in boxes of 100 and guarantees that no more than 10 pins will be defective, what is the approximate probability that a box will fail to meet the guaranteed quality.