SOLUTION: The random variable X is known to be uniformly distributed between 10 and 20 1).show the graph of the probability density function 2).compute p(X<15) 3).compute p(12<X<18) 4).f

Question 1149462: The random variable X is known to be uniformly distributed between 10 and 20
1).show the graph of the probability density function
2).compute p(X<15)
3).compute p(12 4).find the var(X) and the E(X)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Draw a number line from 1 to 20
the probability is 0.1
Between 10 and 20 on the x-axis, y=0.1

probability x<15 is 0.5, because the rectangle is 5 long and 0.1 wide
probability of x=12.4 exact is 0, because it is a single dimensionless point.
expected value is 15 (a+b)/2
variance is (b-a)^2/12=10^2/12=8.33
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