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In: Statistics and Probability

QUESTION 1 (15 marks) Studd Enterprises sells big-screen televisions. A concern of management is the number...

QUESTION 1

Studd Enterprises sells big-screen televisions. A concern of management is the number of televisions sold each day. A recent study revealed the number of days that a given number of televisions were sold.

                        # of TV units sold      # of days

                                       0                             2

  1.                         4

  1.                       10
  1.                       12
  1.                         8
  1.                         4

Answer the questions below. For each part, show your calculations and/or explain briefly how you arrived at your answer, as appropriate or needed.

Required:

  1. Convert the frequency distribution above into a probability distribution (or relative frequency distribution) showing the proportion of days (rather than the number of days) that the number of televisions sold was 0, 1, 2, 3, 4, and 5 respectively. ( 3 marks)
  1. Compute the mean of this general discrete probability distribution. ( 3 marks)

  1. Compute the standard deviation of this general discrete probability distribution. ( 5 marks)
  1. What is the probability that exactly 4 televisions will be sold on any given day? ( 1 mark)
  1. What is the probability that 2 or more televisions will be sold on any given day? ( 1 mark)
  1. What is the probability that less than 2 televisions will be sold on any given day? (1 mark)

g What is the probability that between 1 and 4 televisions inclusive will be sold on any given day? (1 mark)

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