Question

The random number generator on a calculator randomly generate a number between zero and one. the random variable x, the number generated, follows a uniform probability distribution. what is the probability of generating a number between .37 and .05? what is the probability of generating a number greater than .85?

Answer 1

For this case we know that the random variable x is given by:

X Unif(0,1)

The cumulative distribution function would be given by:

`F(x)=(x-1)/(1-0)=x`

The correct graph would be:

First one

what is the probability of generating a number between .37 and .05?

For this case we can do the following:

0.37 -0.05 = 0.32

what is the probability of generating a number greater than .85?

For this case we can do the following:

P(X >0.85) = 1-P(X<0.85)= 1-0.85 = 0.15