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Chapter 5: Q. 61 (page 351)

Use the following information to answer the next seven exercises. A distribution is given as X~Exp(0.75). Find the 30th percentile

Short Answer

Expert verified

The value of 70 percentile is 0.4756

Step by step solution

01

Function of commutative distribution  

As the rule of commutative distribution

P(X>x) = 1-e-mx

It has been said

X~Exp(0.75)

m=0.75

02

Formula of commutative distribution  

In order to 30 percentile calculation

P(x<k)=1-e-0.75x0.30=1-e-0.75xe-0.75x=0.70

03

Equation of commutative distribution  

Applying logarithm in both sides

lne0.75k=ln0.70k=0.4756

The value of 70 percentile is 0.4756

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