Statistics STAT 206 2 problems (Need accurate detailed answer)

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Problem 3. Starbucks manager at LeBow wants to find:

(a) the probability of the total average cost less than or equal to $1000 per day. He is only concerned about the cost of waiting time of customers. Customers spend time at the checkout register with mean of 4 minutes and standard deviation of 4 minutes. On average, he got 100 customers per day. 1 minute

of waiting time is considered as cost of $0.5.

(b) the probability of the total expected revenue greater than or equal to $1500 per day. On average, each customer spends $4 at a time with standard deviation of $1.

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