Wendy's journey to work consists of three parts: walking to the train station, riding on the train and then walking to the office. The times, in minutes, for the three parts of her journey are independent and have the distributions $$\(\mathrm{N}\left(15.0,1.1^{2}\right), \mathrm{N}\left(32.0,3.5^{2}\right)\)$$ and $$\(\mathrm{N}\left(8.6,1.2^{2}\right)\)$$ respectively. Find the mean and variance of the total time for Wendy's journey. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_s21_qp_62 Year：2021 Question No：4(a)
Answer:
Mean \(=15.0+32.0+8.6[=55.6]\)
\(\operatorname{Var}=1.1^{2}+3.5^{2}+1.2^{2}[=14.9]\)
\(\operatorname{Var}=1.1^{2}+3.5^{2}+1.2^{2}[=14.9]\)
Knowledge points:
6.2.1.2 more contents
6.2.1.3 more contents
Solution:
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