12. Final: Assume choosing eight randomly selected ColorSmart-5000 televisions that last five years without a single repair. If the manufacturer's claim that the true probability that a purchaser's television set will require no repairs within five years equals .95. furthermore, it is reasonable to believe that the repair records of the purchases' sets are independent of each other. Thus, let x denote the number of then = 8 randomly selected sets that have lasted at least five years without a single repair. Find the probability that 5 randomly selected customers do not took their TV to repair during last five years. O a. .0054 O b..0197 O c.0234 O d. .2198 Previous page 日

12. Final: Assume choosing eight randomly selected ColorSmart-5000 televisions that last five years without a single repair. If the manufacturer's claim that the true probability that a purchaser's television set will require no repairs within five years equals .95. furthermore, it is reasonable to believe that the repair records of the purchases' sets are independent of each other. Thus, let x denote the number of then = 8 randomly selected sets that have lasted at least five years without a single repair. Find the probability that 5 randomly selected customers do not took their TV to repair during last five years. O a. .0054 O b..0197 O c.0234 O d. .2198 Previous page 日

Name: 12. Final: Assume choosing eight randomly selected ColorSmart-5000 te
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Description: 12. Final: Assume choosing eight randomly selected ColorSmart-5000 televisions that last five years without a single repair. If themanufacturer's claim that the true probability that a purchaser's television set will require no repairs within five y

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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7. Suppose that a communications network transmits binary digits, 0 or 1, where each digit is transmitted 10 times in succession. During each transmission, the probability is 0.995 that the digit entered will be transmitted accurately. In other words, the probability is 0.005 that the digit being transmitted will be recorded with the opposite value at the end of the transmission. For each transmission after the first one, the digit entered for transmission is the one that was recorded at the end of the preceding transmission. If X₁ denotes the binary digit entering the system, X₁ the binary digit recorded after the first transmission, X₂ the binary digit recorded after the second transmission, then {X₂} is a Markov chain. (a) Construct the (one-step) transition matrix. (b) Find the 10-step transition matrix P(10). Use this result to identify the probability that a digit entering the network will be recorded accurately after the last transmission.
37. A light is shown for a continuous interval of ten minutes in an hour. An observer watches the light for a continuous interval of five minutes randomly chosen within that hour. Calculate the probability that he will see the light for same part of its showing.
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13.) A string of Christmas lights contains 20 lights. The lights are wired in series, so that if any light fails, the whole string will go dark. Each light has probability 0.98 of working for a 3- year period. The lights fail independently of each other. Find the probability that the string of lights will remain bright for 3 years.
1. Suppose that identical 100 balls are randomly distributed into 10 boxes. Given that the boxes 1 and 2 are empty find the probability that box 3 is not empty.
13) The following table contains data about the perfomance of a couple of mutual funds with various stocks. Number of stocks which Number of stocks which increased in value last decreased in value last month 28 month Diverse Mutual Market Mutual 25 If one of the stocks is randomly selected, find the probability that the stock is from Diverse Mutual given that the stock increased last month. Write the answer as a simplified fraction. Show your work.
2. Suppose you are at a birthday party with n other people. How large must n be to ensure that the probability that you share your birthday with at least one other person is greater than 1/2?
11. Final: Assume choosing eight randomly selected ColorSmart-5000 televisions that last five years without a single repair. If the manufacturer's claim that the true probability that a purchaser's television set will require no repairs within five years equals .95. furthermore, it is reasonable to believe that the repair records of the purchases' sets are independent of each other. Thus, let x denote the number of then = 8 randomly selected sets that have lasted at least five years without a single repair, Do you believe company's claim? O a. No, I don't because their percentage claim is far away more to believe. O b. Yes I do. O c. Cannot decide because no enough information available. O d. No, I don't believe because the probability is less than zero. Previous page
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.
Suppose that 45% of all babies born in a particular hospital are boys. If 8 babies born in the hospital are randomly selected, what is the probability that at most 1 of them are boys? Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)