Show all working explaining detailly each step Answer must be typewritten with a computer keyboard! Answer Q8a The probability density function of a continuous random variable Y is given by (A(v+2) 8....


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Answer Q8a


The probability density function of a continuous random variable Y is given by<br>(A(v+2)<br>8.<br>(a)<br>-2 <ys0<br>2k<br>0<ys2<br>elsewhere<br>(i)<br>Show tlatA-<br>Evaluate P(Y<1).<br>(b) (i) 5% of' the students in a cortain school study on scholarship. 60 students are chosen al random from<br>the school. Use Poison distribution to find to 3 signilicant figures, the prohability that at least 2 of<br>them study on scholarship.<br>(ii) 500 students are chosen at random from the school.<br>Use the normal approximation to estimate to 3 significant figures the probability that between 20<br>and 30 students inclusive will be studying on scholarship.<br>

Extracted text: The probability density function of a continuous random variable Y is given by (A(v+2) 8. (a) -2 <1). (b)="" (i)="" 5%="" of'="" the="" students="" in="" a="" cortain="" school="" study="" on="" scholarship.="" 60="" students="" are="" chosen="" al="" random="" from="" the="" school.="" use="" poison="" distribution="" to="" find="" to="" 3="" signilicant="" figures,="" the="" prohability="" that="" at="" least="" 2="" of="" them="" study="" on="" scholarship.="" (ii)="" 500="" students="" are="" chosen="" at="" random="" from="" the="" school.="" use="" the="" normal="" approximation="" to="" estimate="" to="" 3="" significant="" figures="" the="" probability="" that="" between="" 20="" and="" 30="" students="" inclusive="" will="" be="" studying="" on="">

Jun 08, 2022
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