An engineer designs a circuit, seen below. In this system, if the first component fails, thefunctionality moves immediately to the second component and so on. The system only failswhen the fifth component fails. Each component has a lifetime that is exponentially distributedwith λ = 0.01 and components fail independently of one another. Define A, to be the length oftime component i lasts. Let Y = the time at which the new system fails.Given2لنا5A-Exponential (0.01)Y=A1+A2+A3+A4+A51. Find the probability that this new system will last fewer than 50 hours.

Given that an engineer designs a circuit. In this system, if the first component fails, the…

Answered: An engineer designs a circuit, seen…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In 1997, 1500 runners entered a marathon in Joppetown U.S.A. In 2003, 18,000 runners entered the race. Because of the limited number of facilities, the carrying capacity for the number of racers is 58,500. The number of racers at any time, t, in years, can be modeled by the logistic function P(t) = C .Complete parts a) through d) below. %3D 1+Be kt a) What is the value of C? C = b) Find B. B = c) Find k. k = (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.) d) In what year should at least 48,500 runners be expected to run in the race? In the year (Do not round until the final answer Then round un to the nearest whole pumber)
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(THIS IS ALL ONE QUESTIONS) An anthropologist is looking at the role of fathers in child rearing in the rural Southeast. He asks the fathers how many times a week they feed and diaper their newborn infants. On his first day of work, the anthropologist interviews five fathers and gets the results shown in the first three columns of the following table. In this table, fill in the missing values in the XY column, and then calculate ΣXY. Father Feeding (X) Diapering (Y) XY A 1 2 2 B 1 3 C 2 0 0 D 1 5 5 E 3 4 ΣXY = Fill in the missing values in the X² column of the following table, and then calculate ΣX². Father Feeding (X) Diapering (Y) X² A 1 2 1 B 1 3 1 C 2 0 D 1 5 1 E 3 4 ΣX² = Fill in the missing values in the X – 1 column and the (X – 1)² column of the following table, and then calculate Σ(X – 1)². Father Feeding (X) Diapering (Y) X – 1 (X – 1)² A 1 2 0…

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