uniform probability

[sarahm]

suppose x is a random variable best described by a uniform probability distribution with c=10 and d=30. find the following probabilities:
P(10<or equal to x<or equal to)
P(20<x< 30)
P(x> or equal to 25)

 

[galactus]

Uniform distributions are just that....uniform. The graph is a rectangle from c to d, with height 1/(d-c)

Since the probabilities sum to 1, the length of the rectangle times the height, \(\displaystyle (d-c)\cdot \frac{1}{d-c}=1\).

So, the probability \(\displaystyle P(x\geq 25)=\frac{1}{d-c}(d-25)\). Just use your given c and d values.

and so on for the others.