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Chapter 5: Q. 60 (page 351)

Use the following information to answer the next seven exercises. A distribution is given as X~Exp(0.75). FindP(x<4)

Short Answer

Expert verified

The value of P(x<4)is0.9502

Step by step solution

01

Definition of cumulative distribution function

Cumulative Distribution Function of Exponential Distribution is represented as;

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

As per given information, X~Exp(0.75)

Therefore,m=0.75

02

Finding P(x < 4)

Calculation of required probability

P(x<4)=1-e-0.75脳4=1-e-3=1-0.0498=0.9502

Thus it can be said thatP(x<4)is0.9502

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