6. The diameter of electric cables, say X, is assumed to be a continuous random variable with probability density function (pdf): f(x) = { ke-³x 0 a. find expected value of random variable X b. Find V(X) c. standard deviation of X c. Find cumulative distribution function for X for x > 0 otherwise

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.
Chapter13: Probability And Calculus
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6. The diameter of electric cables, say X, is assumed to be a continuous random variable with
probability density function (pdf):
f(x) = { ke ³²
0
a. find expected value of random variable X
b. Find V(X)
c. standard deviation of X
c. Find cumulative distribution function for X
for x > 0
otherwise
Transcribed Image Text:6. The diameter of electric cables, say X, is assumed to be a continuous random variable with probability density function (pdf): f(x) = { ke ³² 0 a. find expected value of random variable X b. Find V(X) c. standard deviation of X c. Find cumulative distribution function for X for x > 0 otherwise
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