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At a particular business, the weekly sales for any one salesperson are normally distributed with a mean of $14,000 and a standard deviation of $4,000.

At a particular business, the weekly sales for any one salesperson are normally distributed with a mean of $14,000 and a standard deviation of $4,000. The business has 49 salespeople.

  1. Suppose that during a given week, the business awards a bonus to those salespeople who have sales over $20,000 for that week. The probability that a randomly chosen salesperson receives a bonus that week is
  2. Suppose the business wants to implement a bonus schemebased ontotalsales for the entire store. In particular, thestore employs 49 salespeople. They will be awarded a bonus iftheirtotalsales for the week exceeds $700,000. We can assumethat salespeople have independently distributed weekly sales. Whatis the probability that the salespeople donotreceive thegroup bonus?

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