Q.5 The probability density function for a continuous random variable T is0≤x≤ 8,fr (t) = {au; 8< x ≤ 918a;(i) Find constants a and sketch fr(t).(ii) Find cumulative distribution function (cdf), moment generatingfunction.iii) Find P(X > 7).

For fT(t) to be a valid pdf, its integral must equal 1. ∫−∞+∞fT(t)=∫08at dt+∫898a…

Answered: Q.5 The probability density function…

A First Course in Probability (10th Edition)

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Q.5 The probability density function for a continuous random variable T is 0≤x≤ 8, fr (t) = {au; 8< x ≤ 9 18a; (i) Find constants a and sketch fr(t). (ii) Find cumulative distribution function (cdf), moment generating function. iii) Find P(X > 7).