A printing machine can print any one of n letters L₁, L2,..........Ln. It operated byelectrical impulses, each letter being produced by a different impulse. Assume that thereis a constant probability p that any impulse prints the letter it is meant to print. Alsoassume independence. One of the impulses is chosen at random and fed into the machinetwice. Both times, the letter L₁ was printed. Find the probability that the impulse chosenwas meant to print the letter L₁.

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Answered: A printing machine can print any one of…

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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A commuter must pass through three traffic lights on her way to work. For each traffic light, the probability that it is green when she arrives is 0.6. The lights are independent. 3 (a) Compute the probability that all three lights are green. (b) The commuter goes to work five days per week. Let X be the number of times out of the five days in a given week that all three lights are green. Assume the days are independent of one another. Determine the distribution of X. (c) Calculate P(X= 3).
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You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X2 fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri- bution. b. What is the probability that exactly 15 students in the class of 20 get into the pro- gram? Do not use Table C. c. What is the probability that atleast 22 students in the class of 25 get into the pro- gram? Do not use Table C. d. Using Table C, what is the probability that atleast 17 students in the class of 20 get into the program? е. Let X be the number of students in both classes that get into the program. Deter- mine the mean and standard…
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A3. Suppose that Ahmed selects a ball by first picking one of the two boxes at random and selecting a ball from this box at random. The first box contains 3 white balls and 2 blue balls, and the second box contains 1 white balls and 4 blue balls. What is the probability that Ahmed picked a ball from the second box if he has selected a white ball?

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