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**Unifrom distribution ?????**

a continuous random variable X is uniformly distributed in the interval 2<=X<=6 and can take no other value

1.what is the probability density function ?

2.find mean and standard deviation of X ?

3.obtain distribution function of X?

yr obviously i can answer for first two question .....

1.for a uniform function

PDF is f(x)=1/(b-a)====>f(x)=1/4

2.mean=a+b/2=2+6/2=4;

SD= (b-a)^2/12=4^2/12=16/12=4/3

but i have no idea how to do the third part ...please can anybody help me out.....what is distribution function of X ....Not only the answer .....theory behind it ......then i may be able to get the answer for my self