Mathematics S1,S2,S3 WST01: Combinations of Random Variables Topical Past Paper Questions

A market stall sells cauliflowers classified by three different weights, small (S), medium (M) and large (L) The weights, in grams, of these cauliflowers are modelled by independent normal distributions as shown below. $$ S\sim N(265,78^{2})\qquad M\sim N(625,42^{2})\qquad L\sim…

The weights, $ S_{kg} $, of bags of sand are such that $$ S\sim\mathrm{N}\left(18,0.03^{2}\right) $$ Three bags of sand are selected at random. (a) Using standardisation, calculate the probability that their total weight is more than 54.1 kg. (4) The weights, $ C_{kg} $, of bags…

The weights of bags of carrots, C kg, are such that $C \sim \mathrm{N}(1.2, 0.03^{2})$ Three bags of carrots are selected at random. (a) Calculate the probability that their total weight is more than 3.5 kg. (4) The weights of bags of potatoes, R kg, are such that $ R \sim \mathr…