Past observations have determined that current, X, measured in amperes by a certain brand ammeter, will range
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Question:
Past observations have determined that current, X, measured in amperes by a certain brand ammeter, will range from 2 to 6 and will have a probability cumulative distribution function:
F(x) = 0 for x < 2, F(x)= .0125 x 2 + .15 x −.35
for 2 ≤ x ≤ 6, and F(x)=1 for x >6.
a) Give the probability density function for X in the interval [2,6].
b) What is the expected value of X?
c) What is the expected value of X 2 ?
d) What is the variance of X?
e) What is the variance of 5X?
f) What is the median of X?
g) What is the probability that X less than 3?
h) What is the probability that X is more than 1 ampere above its expected value?
Related Book For
Mathematical Statistics with Applications in R
ISBN: 978-0124171138
2nd edition
Authors: Chris P. Tsokos, K.M. Ramachandran
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