There are two competing designs for a certain semi- conductor circuit. The lifetime of the first (in hours) is exponentially distributed with A = 104, and the lifetime of the second is lognormally distributed with µ = 6 and o² = 5.4. %3D a. Use a simulated sample of size 10,000 to estimate the probability that a circuit with the first design lasts longer than one with the second design. b. Estimate the probability that a circuit with the first design lasts more than twice as long as one with the second design.

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There are two competing designs for a certain semi-
conductor circuit. The lifetime of the first (in hours)
is exponentially distributed with i = 10-4, and the
lifetime of the second is lognormally distributed with
µ = 6 and o² = 5.4.
a. Use a simulated sample of size 10,000 to estimate the probability that a circuit with the first
design lasts longer than one with the second design.
b. Estimate the probability that a circuit with the first design lasts more than twice as long as one
with the second design.
Transcribed Image Text:There are two competing designs for a certain semi- conductor circuit. The lifetime of the first (in hours) is exponentially distributed with i = 10-4, and the lifetime of the second is lognormally distributed with µ = 6 and o² = 5.4. a. Use a simulated sample of size 10,000 to estimate the probability that a circuit with the first design lasts longer than one with the second design. b. Estimate the probability that a circuit with the first design lasts more than twice as long as one with the second design.
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