Question: (9). One pizza store use a computer software for online order system. System will suggest order pick up time considering how busy the store is.

(9). One pizza store use a computer software for online order system. System will suggest order pick up time considering how busy the store is. We compare the actual order ready time with the suggested pick up time. Let X be the difference between actual order ready time and the suggested pick up time. If X is positive, means that the order is ready later than the suggested pick up time; If X is negative, means that the order is ready earlier than the suggested pick up time. Ideally, the order is ready within 3 mins from the suggested pick up time. Hence the pizza won't turn cold, and the store will not keep the customer waiting too long. Assume X follows normal distribution with mean of 2 mins, and standard deviation o = 2.5 mins. 1(3). For one randomly selected order, find the probability that the order is ready within 3 mins from the suggested pick up time. 2(6). Given the order is ready within 3 mins from the suggested pick up time, what is the probability that the order is ready earlier than the suggested pick up time."
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