CAIE FP2 2014 June — Question 9

Exam BoardCAIE
ModuleFP2 (Further Pure Mathematics 2)
Year2014
SessionJune
TopicNormal Distribution
TypeValidity of normal model

9 T ctuu adm aabl
a dtbut uct \(F g\) by
Z
\(F \pi \theta\) Fd talu
c \(P\)
\(\pi\)
\(\theta\) T adm aabl dd by \(l \quad\) Fd t dtbut uct
Fd t bablty dty uct
ad ktc t ga Aumg tat lgt a mally dtbutd
  1. tt at \(t\) gcac ll \(t\) t ulat ma lgt \(t c\) gat ta cm
  2. calculat a cdc tal \(t\) ulat ma lgt \(t c\) EITHE
    A atclgt latc tg atual lgt\multirow{4}{*}{}
    T atcl\(t\) ad ac \(t\) gatt \(g t\)\multirow{4}{*}{}
    t lgt t tg
    (i) tat \(t\) mdulu latcty \(t\) tg-
    (ii) tat \(m m l\) amc mt abut \(t\) ulbum \(t\) ad tat \(t\) d t mt
    (iii)\(t\) ual t al t maxmum alu
    O
    \(F\) a adm aml \(b\) ad t uat \(t g l\)at a aluθt uat \(t g l\)
    ad
    ctly amla ctat \(T\) duct mmt \(c\)lat cct \(t\)
    (i) Tt at \(t\) gcac ll \(t\) t dc \(t\) clat bt \(t\) aabl
    (ii)d talu
    (iii)alu taml data d t aluad ktc \(t\)
    \(F\) ac \(t\) a alu\(\pi\)cdd
    (iv)t uat \(\operatorname { tg } l\)utyg yu aad d talu \(t\)
    B A PAGE B A PAGE B A PAGE