A variable, X, is uniformly distributed between 10 and 24.
(a) What is Pr(16<X<20)?
(b) What is the mean and variance of X?
(c) What is the 75th percentile for this variable?
Solution :
Given that,
a = 10
b = 24
P(c < x < d) = (d - c) / (b - a)
P(16< x < 20) = (20- 16) / (24 - 10) = 0.2857
Probability = 0.2857
b.
variance = (b - a)2 / 12
= (24 - 10)2 / 12
=16.33
mean = (a + b) / 2=24+10/2=17
c.
PERCENTILE
= a + (b - a)p
=24+ (24 - 10)0.75
=34.5
A variable, X, is uniformly distributed between 10 and 24. (a) What is Pr(16<X<20)? (b) What...