CAIE S2 2020 Specimen — Question 4 4 marks

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2020
SessionSpecimen
Marks4
TopicLinear combinations of normal random variables
TypeTotal journey time probabilities

4 Tb lifetimes, in b s, 6 L ie lig \(\mathbf { b }\) b ad Ee rlw lig \(\mathbf { b }\) b \(\mathbf { b }\) \& tb id \(\mathbf { P } \mathbf { d }\) n id strib in \(\mathrm { N } \left( \mathrm { LS } ^ { 2 } \right)\) adN ( \(\mathrm { L } ^ { 2 }\) ) resp ctie ly.
  1. Fid th pb b lity th t to to al 6 th lifetimes 6 fie rach ly cb en \(L \mathbf { b }\) ie \(\mathbf { b }\) b is less th \(\mathrm { HB } \quad \mathrm { Ch } \quad \mathrm { S }\).
    [0pt] [4]
  2. Fid th pb b lity th tth lifetime 6 a rach lycb en En rlw b b is at least th ee times th t 6 a rach lyc b erL b ir b b