The duration, X, in minutes of Major League baseball games for 2018 can be modeled as...

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The duration, X, in minutes of Major League baseball games for 2018 can be modeled as a gamma random variable with parameters

math Statistics-And-Probability

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Answer 1

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d)P(X>184) =1-pgamma(184,46,1/4)=0.480

e) P(X>150)=1-pgamma(150,46,1/4)=0.901

f) P(X>200)=1-pgamma(200,46,1/4)=0.267

g) P(X>200|X>150)= P(X>200)/P(X>150) =(1-pgamma(200,46,1/4))/(1-pgamma(150,46,1/4))=0.296

h)median of X =qgamma(0.5,46,1/4)=182.668

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