The random variable X has probability density function defined by |2(1 – z²),0

The random variable X has probability density function defined by<br>|2(1 – z²),0 <z < 1<br>0, elsewhere<br>7.<br>f(x) =<br>(a)<br>Find the value of 1.<br>Hence determine<br>(b) the mean H, and variance o?, of X.<br>(c)<br>the cumulative distribution of X<br>(d)<br>P(|x – Hs0)giving your answer correct to 3 significant figures<br>

Extracted text: The random variable X has probability density function defined by |2(1 – z²),0 < 1="" 0,="" elsewhere="" 7.="" f(x)="(a)" find="" the="" value="" of="" 1.="" hence="" determine="" (b)="" the="" mean="" h,="" and="" variance="" o?,="" of="" x.="" (c)="" the="" cumulative="" distribution="" of="" x="" (d)="" p(|x="" –="" hs0)giving="" your="" answer="" correct="" to="" 3="" significant="">

Jun 08, 2022

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The random variable X has probability density function defined by |2(1 – z²),0

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