Recall the continuous uniform distribution on the interval a

Recall the continuous uniform distribution on the interval

(a,b)

:

For the rest of this question, suppose that

a=0

and

b=1

and that the random variable

X

is a random number with this density curve. Find the following probabilities. (Give all answers to two decimal places.)

a)

P(X 0.25) =

b)

P(0.25 X 0.85) =

  

c)

P(0.25 X 1.64) =

  

d)

P(0.05 X 0.35 or 0.59 X 0.79 ) =

  

e)

P(0.1 X 0.78 and 0.41 X 0.88 ) =

  

f) The probability that

X

is not in

(0.15,0.89) =

Solution