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Problem 2 The auto parts department of an automotive dealership sends out an average of nine special orders daily. The number of special orders is

Problem 2

The auto parts department of an automotive dealership sends out an average of nine special orders daily. The number of special orders is assumed to follow a Poisson distribution.

What is the probability that the number of special orders sent out for two days will be more than one?

What is the standard deviation of the number of special orders sent out daily?

Questions 22 - 27 (6 points) are based on the Problem 2.

22

The probability that the number of orders sent out is greater than X equals to _________________.

  1. 1 - the probability that the number of orders is smaller than X
  2. 1 - the probability that the number of orders is smaller than or equal to X
  3. The probability that the number of orders is smaller than X
  4. The probability that the number of orders is exactly equal to X

23

The probability that the number of orders sent out for two days equals exactly 1 should be ___________________________.

  1. Calculated as 2 x the probability that the number of orders sent out for one day equals 0.5
  2. Calculated as the cumulative probability f(0) + f(1)
  3. Calculated based on the average of 18 orders for two days
  4. None of the above

24

The probability that the number of orders for two days will be more than one equals about ___________________

  1. between 99 % and 100%
  2. between 98 % and 99 %
  3. between 97 % and 98 %
  4. between 96 % and 97 %

25

The obtained value of the probability that the number of orders sent outfor two days will be more than one indicates that ___________________.

  1. Less than one order for two days is an impossible event
  2. More than 18 orders for two days is more likely than more than one order per day
  3. More than one order for two days is very likely event
  4. None of the above

26

The variance of the number of special orders sent out for one day equals to ________________.

  1. The variance of special orders sent out for two days
  2. The mean of special orders sent out per day
  3. The standard deviation of special orders sent out per day
  4. None of the above

27

The standard deviation of the number of special orders sent out for one day equals to ___________.

  1. 4
  2. 1
  3. 2
  4. 3

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