(a) Suppose that an electronic device has a life length X (in units of 1000 hours) which is considered as a continuous random variable with the following pdf: f(x) = e, x > 0. Suppose that the cost of manufacturing one such item is 20.00 Rupees. The manufacturer sells the item for 50 Rupees, but guarantees a total refund if X < 0.9. What is the manufacturer's expected profit per item?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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10. (a) Suppose that an electronic device has a life length X (in units of 1000 hours) which is
considered as a continuous random variable with the following pdf:
f(x) = e-x,
Suppose that the cost of manufacturing one such item is 20.00 Rupees. The
manufacturer sells the item for 50 Rupees, but guarantees a total refund if X < 0.9.
x > 0.
What is the manufacturer's expected profit per item?
[4]
Transcribed Image Text:10. (a) Suppose that an electronic device has a life length X (in units of 1000 hours) which is considered as a continuous random variable with the following pdf: f(x) = e-x, Suppose that the cost of manufacturing one such item is 20.00 Rupees. The manufacturer sells the item for 50 Rupees, but guarantees a total refund if X < 0.9. x > 0. What is the manufacturer's expected profit per item? [4]
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