Practice - Page |1 Assignment 2 4.22 Refer to the country...

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P a g e | 1 Assignment 2 4.22 Refer to the country in Example 4.11 on p. 91, where household incomes follow Normal distribution with µ = 900 coins and σ = 200 coins. (a) A recent economic reform made households with the income below 640 coins qualify for a free bottle of milk at every breakfast. What portion of the population qualifies for a free bottle of milk? (b) Moreover, households with an income within the lowest 5% of the population are entitled to a free sandwich. What income qualifies a household to receive free sandwiches? 4.24 Installation of some software package requires downloading 82 files. On the average, it takes 15 sec to download one file, with a variance of 16 sec2. What is the probability that the software is installed in less than 20 minutes? `
P a g e | 2 4.28 Seventy independent messages are sent from an electronic transmission center. Messages are processed sequentially, one after another. Transmission time of each message is Exponential with parameter λ = 5 min−1. Find the probability that all 70 messages are transmitted in less than 12 minutes.

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