If the lifetime for a type of lamps follows a distribution with density function f(x) =12x²(1-x),0≤x≤1 , where is the lifetime in years. A sample of 100 units is selected randomly what is probability that its life time less than 7.5 month.

MATLAB: An Introduction with Applications
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If the lifetime for a type of lamps follows a distribution
with density function
f(x) =12x²(1-x),0≤x≤1 ,
where is the lifetime in years. A sample of 100 units is
selected randomly what is probability that its life time less
than 7.5 month.
Transcribed Image Text:If the lifetime for a type of lamps follows a distribution with density function f(x) =12x²(1-x),0≤x≤1 , where is the lifetime in years. A sample of 100 units is selected randomly what is probability that its life time less than 7.5 month.
Expert Solution
Step 1

Given

f(x)=12x2(1-x) 0≤x≤1 

Where x in year 

P(x<7.5 months)=? 

 

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