A post-office has two letterboxes, Domestic and Overseas. Letters to be delivere

Question

A post-office has two letterboxes, Domestic and Overseas. Letters to be delivered within Germany are placed in the Domestic box, and letters intended for overseas destinations are deposited in the Overseas box. During the month of January there were 980 Domestic and 310 Overseas letters handled. a. Estimate the probability of a particular letter having a German destination. b. Estimate the probability of a particular letter having an overseas destination. c. During February there were 1580 letters posted in total. How many of these would you expect to have been delivered (based on January data): i. Within Germany? ii. Overseas?

Explanation / Answer

a) probability of a particular letter having a German destination =letter in Domestic box/total letters

=980/(980+310)=980/1290 =98/129

b)

probability of a particular letter having an overseas destination=letter in OVerseas box/total letters

=310/1290 =31/129

c)

expected letter in i) within Germany =np =1580*(98/129)=1200.31

expected letter in i) Overseas =np =1580*(31/129)=379.69

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