Question

A company receives 20 faxed orders every two hours (2) What is the probability that it...

  1. A company receives 20 faxed orders every two hours

  1. (2) What is the probability that it will receive 8 orders in the next hour?
  2. (2) What is the probability that an order will be faxed within the next 9 minutes?
  3. (3) What is the probability that more than 12 minutes will elapse between faxed orders?
  4. (5) The company also receive online orders. These orders are over $200 on average 15% of the time. What is the probability that in a sample of 10 online orders, 5 or 6 will be over $200?
Math   Statistics-And-Probability   
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Answer #1

Average number of orders per hour = 20/2 = 10

Average time for an order = 60/10 = 6 minutes

(a) The probability that it will receive 8 orders in the next hour

= = 0.1126

(b) The probability that an order will be faxed within the next 9 minutes =

= = 0.77687

(c) The probability that more than 12 minutes will elapse between faxed orders =

= = 0.13534

(d) The probability that in a sample of 10 online orders, 5 or 6 will be over $200

= = 0.00974

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