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Question: Consider a sequence of three machines each with exponentially distributed processing times. The mean processing rates for these three machines are 1, 2, and 3, jobs per hour, respectively. Consider the time between completed jobs at Machine 3 (the third machine in the series). The system operates as follows. With probability 5/8, machine three has a next job ready for processing immediately after completing a job. Sometimes there isn't a next job waiting to be processed at Machine 3 but there is a job processing on Machine 2 which when completed will be sent immediately to Machine 3.
This situation occurs 1/4 of the time. When there is not a job being processed on Machine 2 when Machine 3 needs a next job for processing, there is always a job processing on Machine 1. Thus, Machine 3 must wait for the completion of the job on Machine 1 and then its processing time on Machine 2 before it is available for processing on Machine 3. What is the mean and SCV of the time between job departures from Machine 3?
Thomas wants to predict the sales figures of his company for the upcoming year. On the basis of historical data, he concludes that a linear function passes through the observed data points for the first and sixth years.
The number of pounds of steam used per month at a plant is thought to be related to the average monthly ambient temperature.
An advisory board member for the engineering technology programs recently approached us. Discuss what is meant by line spectra and what information can be gathered from a line spectrum plot.
The prior probabilities for events .30. The conditional probabilities of event B given A1. A2. and A3 are P(B I A1) = .50. P(B I A2) = .40. and P(B I A3) = 30.
Suppose you know that the amount a wine-drinker is willing to pay for a bottle of wine t years from now is $P(1+20(sqr(t))). Assuming continuous compounding and a prevailing interest rate of 5% per year, when is the best time to sell your wine?
Develop an appropriate forecast model for the bank to use to forecast Treasury note rates in the future and indicate how accurate it appears to be compared to historical data.
Blackjack. or twenty-one as it is frequently called, is a popular gambling game played in Las Vegas casinos. A player is dealt two cards.
Matrix multiplication is distributive. That is, for any four matrices A, B, C and D of appropriate size, the following two matrix multiplication equalities
Suppose Annabelle decides to change her risk-balancing formula by eliminating the restriction that the proportion of the amount she invests s in the index fund to the amount that she invests in the Internet fund must be at least one-third. What wi..
Consider the problem of finding the remainder when 24096 is divided by 209 = 11 · 19. (Note that 4096 = 212.) Solve the problem using successive squaring only. Solve the problem by using Euler's theorem to reduce the size of the exponent
A social scientist wants to analyze the relationship between educational attainment and salary. He collects the following sample of data where "Education".
Two 10 H inductors are in parallel and the parallel combination is in series with a third 10 H inductor. What is the approximate total reactance when a voltage with a frequency of 7 kHz is applied across the circuit terminals?
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