HSC Arts 12th Board ExamMaharashtra State Board
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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 - HSC Arts 12th Board Exam - Mathematics and Statistics

ConceptProbability Distribution Probability Density Function (P.D.F.)

#### 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

2012-2013 (March) (with solutions)
Question 6.1.2 | 3.00 marks

#### Video TutorialsVIEW ALL [1]

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.).
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