What is the probability of the ice cream truck stocking out

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The uddairy ice cream truck plans to sell ice cream at an upcoming alumni event in Central Park (NYC). From past events, demand for ice cream is highly weather dependent. On rainy days, demand is normally distributed with a mean of 120 scoops and standard deviation of 35 scoops. On non-rainy days, demand is normally distributed with a mean of 200 scoops and standard deviation of 60 scoops. The ice cream truck will be loaded two days before the event and travel to NYC. If the UDairy truck plans to bring enough ice cream to maintain a 95% service level for a rainy day, but the day surprisingly turns out to be non-rainy, what is the probability of the ice cream truck stocking out? For simplicity, assume the number of scoops demanded is a continuous variable. Enter probability as a three-digit decimal (e.g. 0.500, 0.275, 0.942).

Reference no: EM132255927

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