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…

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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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#14
Which of the following represents an exponential function: OA. y=mx+b OB. y-b, b>0 and b#1 OC. y=ax²+bx+c OD. y = log x; x > 0, b>0 and b#1
In a study of a marine tubevorm, scientists developed a model for the time T (measured in years) required for the tubeworm to reach a length of L meters. On the basis of their model, they estimate that 170 to 250 years are required for the organism to reach a length of 2 meters, making this tubeworm the longest-lived noncolonial marine invertebrate known. The model is given below. 20ebl - 28 T= Here b is a positive constant that requires estimation. What is the value of b if an estimate of 180 years to reach a length of 2 meters is correct? (Round your answer to two decimal places.) b = What is the value of b if an estimate of 245 years to reach a length of 2 meters is correct? (Round your answer to two decimal places.)
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Suppose customers arrive to a single server at the rate of 1/2 customers per minute. The capacity of the server is 1/3 customers per minute. Both service time and interarrival times are assumed to be exponential. Suppose the system is initially empty. As the system unfolds, its inventory (in process and waiting) will: (a) reach a long-run average of 3 customers (b) reach a long-run average of 2 customers (c) stay in the system an average of 6 minutes (d) grows unboundedly in the long-run (e) None of the above
A new town was incorporated in 1960. The size of the town's population was recorded every 5 years after 1960. Using the variables x, for number of years since 1960, and y, for the size of the population, three models were created to predict the population from the number of years since 1960.
Find the loglikelihood of maximal model and the predicted proportion of trees without fungus when the dose of additive is x= -0.2
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A population grows according to an exponential growth model, with P0=20P0=20 and P1=24P1=24Complete the recursive formula:PnPn = ×Pn−1×Pn-1Write an explicit formula for PnPnPnPn =
A detective is called to the scene of a crime where a dead body has just been found. She arrives on the scene at 10:23 pm and begins her investigation. Immediately, the temperature of the body is taken and is found to be 80-F. The detective checks the programmable thermostat and finds that the room has been kept at a constant 68-F for the past 3 days. After evidence from the crime scene is collected, the body's temperature is taken once more and found to be 78.5-F. This last temperature reading was taken exactly a quarter after 11:01 pm. Assuming that the victim's body temperature was normal (98.6-F) before death, calculate the rate constant k 1.5195x10-³ min 2.5195x10-3 min 3.5195x10-3 min 2.1004x10-³ min what time did the victim die? 01:05 pm O 2:56 pm O 3:23 pm 4:12 pm
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From 2000 through 2009, the population of State A grew more slowly than that of State B. Models that represent the populations of the two states are given by P = 37.5t + 6075 State A P = 168.2t + 5138 State B where P is the population (in thousands) and t represents the year, with t = 0 corresponding to 2000. Use the models to estimate when the population of State B first exceeded the population of State A. (Round your answer to the nearest year.)

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