QUESTION 1
Studd Enterprises sells big-screen televisions. A concern ofmanagement is the number of televisions sold each day. A recentstudy revealed the number of days that a given number oftelevisions were sold.
                       # of TV units sold     # ofdays
                                      0                            2
- Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 4
- Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 10
- Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 12
- Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 8
- Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 4
Answer the questions below. For each part, show yourcalculations and/or explain briefly how you arrived at your answer,as appropriate or needed.
Required:
- Convert the frequency distribution above into a probabilitydistribution (or relative frequency distribution) showing theproportion of days (rather than the number ofdays) that the number of televisions sold was 0, 1, 2, 3, 4, and 5respectively. and Compute the mean of this general discreteprobability distribution. ( 6 marks)
- Compute the standard deviation of this general discreteprobability distribution. ( 5 marks)
- What is the probability that exactly 4 televisions will be soldon any given day? and What is the probability that2 or more televisions will be sold on any given day? ( 2mark)
- What is the probability that less than 2 televisions will besold on any given day? and What is the probabilitythat between 1 and 4 televisions inclusive will be sold on anygiven day? (2 mark)
