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2018-04-05.png

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1 statistics 2017 mid testpdf - Adobe Acrobat Reader DC — X
File Edit View Window Help Home Tools statistic52017 mid... >< statistic52017mid... ® 7311; ' [315159ng @© 2 I6 6/ Dirk likes having Lcoffee and biscuits everyday. Let X denote the number of cups of coffee
Dirk drinks on any given day. The number of cups of coffee Dirk drinks is independent
from day to day. Let Y denote the number of biscuits Dirk cats on any given day. The
number of biscuits Dirk eats is independent from day to day. The relationship between
X and Y is described by the following joint probability distribution: 3; (Biscuit)
3 4 6
0.12 0.25 0.04 I(Coffee) 0.14 0.20 0.02
0.10 0.05 0.08 (a) 3 marks] Find the probability that Dirk drank 3 cups of coffee today, given that
he ate more than 3 biscuits. Solution:
0.4531 (h) 3 marks] Find the probability that Dirk ate 3 biscuits today, given that he drank
more than 3 cups of cofiee, Solution:
0,4068 (c) 4 marks] Over the next 10 days, find the probability that Dirk drank more than
3 cups of coffee on more than 7 days. Solution:
0.1517 (d) 3 marks] Over the next 30 days, find the probability that Dirk drank more than
3 cups of coffee on more than 20 days. Solution:
0.1977 10'"! PM E

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