Problem 12The probability is 0.6 that a new smallappliance will show a profit in its first yearof production ; 0.3 that it will show a loss;and 0.1 that it will break even. Find theprobability that in a random sample of 5new small appliances produced last year:(a) No more than 3 will show a profit(b) at least 3 will show a profit(c) exactly 3 will show a profit(d) exactly 3 will not show a loss(e) at least one will break even(f) none will break even(g) exactly 2 will show either a profit or aloss.

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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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ion 16.84. An urn contains 3 one-rupee coins, 5 fifty paise coins and 12 ten-paise coins. If a coin is drawn at random, find the expected value of the draw, assuming that all coins are equally likely.
Q: A certain virus infects one in every 20 people. A test used to detect the virus in a person delivers positive outcome at 85% accuracy for infected persons. Moreover, it provides negative outcome for healthy persons at 95% accuracy. Compute followings: Find the probability that a person has the virus given that his test outcome is positive. Find the probability that a person does not have the virus given that his test outcome is negative. Find the probability that a person has the virus given that his test outcome is negative. Subject/Course: Introduction to Data Science Note: Use "Confusion Matrix" technique to solve this question!
In major league baseball, a no hitter is a game in which a pitcher, or pitchers, doesn't give up any hits throughout the game. No hitters occur at a rate of about three per season. Assume that the duration of time between no hitters is exponential. a. what is the probability that an entire season elapses with a single no-hitter? b. If an entire season elapses without any no hitters, what is the probabilty that there are no no hitters in the following season? c. What is the probabilty that there are more than 3 no hitters in a single season?
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It is known that in a certain town 30% of the people own an Kpfone. A researcher asks people at random whether they own an Kpfone. The random variable X represents the number of people asked up to and including the first person who owns an Kpfone. Determine that P(X <6).
None
Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty? (Round your answer to three decimal places.) USE SALT 0.200 X You may have forgotten to multiply or divide by 100.
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
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In an urban area, 31% of dog owners pay for someone to walk their dogs. Morgan asks a random sample of 50 dog owners in this urban area if they pay for someone to walk their dog. What is the probability that more than 30% of the owners in the sample pay for someone to walk their dog? Find the z-table here. 0.439 0.519 0.561 0.586

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