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?
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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.).