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The number of customers in a large sandwich restaurant is randomly distributed. Over time, the manager...

The number of customers in a large sandwich restaurant is randomly distributed. Over time, the manager has estimated that the average number of customers at lunchtime is 30, with standard deviation of 5.

a. Find a bound on the probability that there are between 20 to 40 customers (inclusive) at lunchtime.

b. Find a bound on the probability that there are at least 40 customers at lunchtime.

c. Find a bound on the probability that there are at least 50 customers at lunchtime.

d. Find a bound on the probability that there are at least 60 customers at lunchtime.

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