Illustration 16.16. Suppose that a day's production schedule callkfor 9000 items. Three machine each with a daily production capacitof 4000 are available and the probability that an item is defective is i2 and 4 percent for machines A, B and C respectively. On a given day4000 items were produced on machine A, 4000 on B and 1000 on C.One item is selected at random and found defective. What is the prob-ability that it was produced on machine A.CS Scanned with CamScanner

Answered: Image /qna-images/answer/50bd47fb-8c3a-49f6-911f-4ce8c2d31371.jpg

Answered: Illustration 16.16. Suppose that 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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If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0.7, what is the probability that out of 8 newly hired people (A) 5 will still be with the company after 1 year? (B) 5 or more will still be with the company after 1 year? Round each of the calculations to three decimal places when going through the solution process.
8.
1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
5. Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 2 using the Kaplan-Meir approach and interpret the results. Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. The probability of surviving 2 years after…
Suppose 50% of the registered voters in a country are Republican if a sample of 598 voters is selected what is the probability that the simple proportion of republicans will be greater than 47% round your answer to 4 decimal places
4. Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results. Time in years Number at risk Nt Number of deaths, Dt Number of censored Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 A) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85.B) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study.C) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment.D) The probability of surviving 1 year after being diagnosed with a slow-progressing form of…
1. Suppose you are a technician, whose repair time on a given job is said to follow an exponential distribution with expected time θ = 3 hours. You have 5 independent jobs lined up (you complete them sequentially, one by one). a. What is the probability of taking exactly 2 hours to finish a given job? b. What is the probability it will take more than 2 hours on a given job? c. You are on a given job and you already have been working for 1 hour. What is the probability it will at least an additional 2 hours to complete this job?
10. You roll a fair die repeatedly. If it shows 1, you must stop, but you may choose to stop at any prior roll. Your score is the square of the number shown by the die on the final roll. Suppose you decide to stop if it shows a number greater than or equal to i. Determine the i that results in the maximum expected score.
Please solve the attached problem
8. 6. Silvio can't find his keys. He suspects they re either in his car or in his apartment. His personal probability is 6/10 that they're in one of those two places. But he searched his car top to bottom and didn't find them, so his personal probability that they're in his car is only 1/10. On the other hand, his apartment is messy and most of the time when he can't find something, it's buried somewhere in the apartment. So his personal probability that the keys are in his apartment is 3/5. Explain how to make a Dutch book against Silvio.
2) A data packet consists of 10,000 bits, where each bit is a 0 or a 1 with equal probability. Estimate the probability of having at least 5200 ones in terms of the Q-function. Show your work.
040. If the probability is 0.05 that a certain wide-flange column will fill under a given axial load. What is the probability that among 16 such columns, (i) At most two will fail (ii) At least four will fail?

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