a) Probability function of X discrete random variable: P(x) = {* x = 1, 2,3, . .,10 in other cases get in the form. i) ii) Find the cumulative distribution function (F (x)) and plot F(x). ii) Find the...

a) Probability function of X discrete random variable:<br>P(x) = {*<br>x = 1, 2,3, . .,10<br>in other cases<br>get in the form.<br>i)<br>ii)<br>Find the cumulative distribution function (F (x)) and plot F(x).<br>ii) Find the probabilities of P (x53), P (x> 2) and P (25xs4) using the<br>distribution function.<br>b) Probability density function of continuous random variable X,<br>1<x < 3<br>f(x) = {e(3+ x)<br>in other cases<br>as given.<br>i)<br>ii)<br>Find the cumulative distribution function (F (x)) and plot F(x).<br>ii) Calculate the probabilities P (1.3 <X<2), P (X> 2.5) and P (X<1.5).<br>

Extracted text: a) Probability function of X discrete random variable: P(x) = {* x = 1, 2,3, . .,10 in other cases get in the form. i) ii) Find the cumulative distribution function (F (x)) and plot F(x). ii) Find the probabilities of P (x53), P (x> 2) and P (25xs4) using the distribution function. b) Probability density function of continuous random variable X, 1< 3="" f(x)="{e(3+" x)="" in="" other="" cases="" as="" given.="" i)="" ii)="" find="" the="" cumulative="" distribution="" function="" (f="" (x))="" and="" plot="" f(x).="" ii)="" calculate="" the="" probabilities="" p="" (1.3=""><><2), p="" (x=""> 2.5) and P (X<>

Jun 10, 2022

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a) Probability function of X discrete random variable: P(x) = {* x = 1, 2,3, . .,10 in other cases get in the form. i) ii) Find the cumulative distribution function (F (x)) and plot F(x). ii) Find the...

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