1. In an effort to persuade customers to reduce their electricity consumption, s
ID: 3313077 • Letter: 1
Question
1. In an effort to persuade customers to reduce their electricity consumption, special discounts have been offered for low consumption customers. In Florida, the EPA estimates that 75% of the residences have qualified for these discounts. Use binomial distribution to answer the following:
-If we randomly select seven residences in Florida, what is the probability that at most four of the seven will have qualified for the discounts?
2. The number x of people entering the intensive care unit at a particular hospital on any one day has a Poisson probability distribution with mean equal to four persons per day.
-Calculate P(1 < x < 6 ).
-What is the probability that the number of people entering the intensive care unit during a two day period is more than 12?
Explanation / Answer
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1) p = 0.75
n = 7
P(X 4) = 7C0 * 0.75^0 * 0.25^7 + 7C1 * 0.75^1 * 0.25^6 +...............+ 7C4 * 0.75^4 * 0.25^3
P = 0.2436
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