#### Question

The time ( in minutes) for a lab assistant to prepare the equipment for a certain experiment is a random variable X taking values between 25 and 35 minutes with p.d.f

`f(x)=1/10,25<=x<=35=0`

` =0 " " otherwise`

What is the probability that preparation time exceeds 33 minutes? Also find the c.d.f. of X.

#### Solution

`P(x>=33)=int_33^35 1/10 dx`

`=1/10[x]_33^35`

`=(35-33)/10`

`=2/10`

`=1/5`

`F(x)-int_25^x 1/10 dx`

`=1/10 [x]_25^x`

`=(x-25)/10`

Is there an error in this question or solution?

#### APPEARS IN

Solution The time ( in minutes) for a lab assistant to prepare the equipment for a certain experiment is a random variable X taking values between 25 and 35 minutes with p.d.f Concept: Probability Distribution - Probability Density Function (P.D.F.).