A random variable has a triangular probability density function with a = 50, b = 375, and m = 250. What is the probability that the random variable will assume a value between 100 and 300?
from above
P(X<100 ) =(x-a)2/((b-a)*(m-a)) = | 0.0385 |
P(X<300)=1-(b-x)2/((b-a)*(b-m))= | 0.8615 |
P(100<X<300) =P(X<300)-P(X<100) =0.8615-0.0385 =0.8230
A random variable has a triangular probability density function with a = 50, b = 375,...
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A random variable X has probability density function given
by...
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Random variable D is given by
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(a) What is the probability density function of D?
specify the domain of D.
Answer is
-
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(b) Find E(D) and Var(D).
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