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Question 31 - 32 will use the following information: A call center receives an average of 1.5 calls every 5 minutes. Assume the number of

Question 31 - 32 will use the following information:

A call center receives an average of 1.5 calls every 5 minutes. Assume the number of calls received follows the Poisson distribution.

  1. What is the probability that two or more calls will arrive in the next 5 minutes?
    1. 0.1890
    2. 0.0220
    3. 0.0517
    4. 0.4422

  1. What is the probability that no more than 2 calls will arrive in the next 10 minutes?
    1. 0.6910
    2. 0.4232
    3. 0.4808
    4. 0.2121

Questions 33-35 are based on the following question:

Jane takes orders from her friends and neighbors to bake cakes. Through time she has computed the monthly average demand to be 75 cakes a month with a standard deviation of 25 cakes. Assume the demand is normally distributed.

  1. What is the probability that monthly demand for cakes will exceed 100?
    1. -0.221
    2. 0.159
    3. 0.221
    4. 0.412

  1. What is the probability that monthly demand for cakes will be between 30 to 80 cakes?
    1. 0.50
    2. 0.327
    3. 0.543
    4. 0.933

  1. What is the probability that demand will be less than 150?
    1. 0.999
    2. 1.00
    3. 0.874
    4. 0.074

Questions 36-37 are based on the following question:

Customers arrive at a local bank at an average rate of 15 per hour. Assume that the time between arrivals follows the exponential probability distribution:

  1. What is the probability that the next customer will arrive within the next 3 minutes?
    1. .5276
    2. .6328
    3. .5230
    4. .5345

  1. What is the probability that next customer will arrive between 4 and 8 minutes?
    1. 0.8413
    2. 0.0893
    3. 0.2487
    4. 0.2325

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