2. The waiting times at a local restaurant are normally distributed with a mean of 15 minutes and a standard deviation of 3 minutes. a. Find the probability that a customer will wait at least 20.4 minutes. (3) b. Find the probability that a customer will wait between 17 and 20 minutes. (3) c. Suppose the restaurant gives a free meal to any customer that waits longer than 99% of all customers. What length of time waiting is required to obtain a free meal? (4) d. Suppose 36 customers are randomly selected, and their waiting times are recorded. Find the distribution of the sample mean waiting time. (4) e. If 20 customers are selected at random, the sample mean waiting time will be normally distributed. (True/False) ________ (2)
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Find the probability that a customer will wait at least 20.4 minutes. To find this probability, we need to calculate the z-score for 20.4 minutes and then find the area to the right of that z-score in the standard normal distribution. z = (x - μ) / σ z = (20.4 - Show more…
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