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).

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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).
Transcribed Image Text: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).
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