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Chapter 5: Q. 62 (page 351)

Use the following information to answer the next seven exercises. A distribution is given asX~Exp(0.75). Find the median.

Short Answer

Expert verified

The value of median is 0.9241

Step by step solution

01

Function of  commutative distribution 

The rule of commutative distribution

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

As it has been given

X~Exp(0.75)

som=0.75

02

Formula of  median commutative distribution 

The median commutative distribution has been considered as 50 percentile

Formula of median commutative distribution

P(x<k)=1-e-0.75k

Applying all data

0.50=1-e-0.75k

e-0.75k=0.50

03

Equation of  median commutative distribution 

Applying logarithm in both sides

ln(e-0.75k)=ln0.50k=0.9241

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