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
-
4
-
10
-
12
-
8
-
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:
- 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. and Compute the mean of this general discrete
probability distribution. ( 6 marks)
- Compute the standard deviation of this general discrete
probability distribution. ( 5 marks)
- What is the probability that exactly 4 televisions will be sold
on any given day? and What is the probability that
2 or more televisions will be sold on any given day? ( 2
mark)
- What is the probability that less than 2 televisions will be
sold on any given day? and What is the probability
that between 1 and 4 televisions inclusive will be sold on any
given day? (2 mark)