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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 - Mathematics and Statistics

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Sum

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"`

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

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Solution

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


`=int_33^35 1/10 "dx"`


`= 35/10 - 33/10`

`=2/10`

`=1/5`

probability that preparation time exceeds 33 minutes  =  `1/5`

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


`= int_25^x  x/10 "dx"`


`=(x - 25)/10`

Concept: Probability Distribution - Probability Density Function (P.D.F.)
  Is there an error in this question or solution?

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