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Problem 7: In a gas field, there are 500 production wells. A well can be shut down randomly (event A) for various reasons. The probability
Problem 7: In a gas field, there are 500 production wells. A well can be shut down randomly (event A) for various reasons. The probability for a single well to shut down randomly is 5%, or PM) : 0.05. The well shutdowns are random and independent events. Use Poisson's distribution to calculate the following: a. The probability for exact 20 wells are shut down {3 points) b. The probability for at least 498 wells are operational (7 points)
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