Calculate the following exponential probability density function f(x)=1/8 e^(x/8) for x <= 0

Albarellak

Albarellak

Answered question

2020-10-28

Let's calculate the following exponential probability density function

f(x)=18ex/8 for x0

a. Find P(x4)

b. Find P(x6)

с. Find P(x6)

d. Find P(4x6)

Answer & Explanation

Clelioo

Clelioo

Skilled2020-10-29Added 88 answers

Given: f(x)=18ex/8 for x0μ=8
Formula exponential probability:
P(xa)=1ea/μ
P(a<x<b)=ea/μeb/μ
Detetmine the probabilities:
a.P(x6)=1e6/80.5276
b.P(x4)=1e4/80.3935
с.P(x6)=e6/80.4724
d.P(4x6)=e4/8e6/80.1342

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