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Confidence interval on the mean time between failures

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Reference no: EM132394240

1. Consider the differential equation  dy/dt  = 0.2y(t) -2,  y(0) = 40.

(a) Showing your work, calculate y(0.2) using Euler's Method and a step size of Dt = 0.1

(b) Repeat with  Dt = 0.2 and compare your answer with (a)   

2. Consider The number of phone calls in a minute to a corporate Delta Airlines (800) number is  Poisson distributed with a mean of  l = 7.5 during the busy hour.

(a) What is the probability of no calls in a minute?

(b) What is the probability of more than 3 calls in a minute?

3. A financial services firm deploys two separate gateway routers, named Zebra and Unicorn, to connect to their ISP in a redundant fashion. If the Zebra gateway fails, traffic can be processed through the Unicorn gateway, and vice versa. During the past year, data has been collected on the number of crashes and time between failures of Zebra and Unicorn gateway for a reliability analysis as shown in the table below.

Zebra

Unicorn

Mean

Standard Deviation

Mean

Standard Deviation

Time between failures (min)

185.23

187.2

205.15

160.3

Number of crashes

1024

840

a. Determine a 95% confidence interval on the mean time between failures of the Zebra gateway.

b. Determine a 95% confidence interval on the mean time between failures of the Unicorn gateway

c. Does the data support the conclusion that Unicorn is more reliable than Zebra?

Reference no: EM132394240

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