Question

Which of the following probability density functions has the greatest expected value? Hint: Draw pictures. No calculations required.

Which of the following probability density functions has the greatest expected value? Hint: Draw pictures. No calculations required. 2 tri(2x) O (1/2)tri(x/2) trix) Otri(x+2) 0 tri(x-2)

Answer 1

we Anow that A toi() angula functon Ymeans follows A tri () Teferente A Given pdfs functions the

Considev atvil2) Hre T- A= 2 () 2 Here obont mean spread vanana

b)to rcalng tattor b = } with 2. means Soom ratrene graph ( put T2 Ati A T2 Here mean about vanante =sproad U DOu

toies Here A =1 tric) Mere mean K=O spread gbout Vanance= mean d) ti2) 2. Here igkt side ( 2- ccentre o1 -1 Ymean van'ane =iprea d qbout mean

e) to(a-2) to leftside ti()shitled by 2 means A toi ca-2) pdf 1 c centre ot symmetay) Heve mean = sproad about mean vanante

ydosb aywa oread has more option b the maan about pasinon tnce thag mOYe Varnanu