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Question 3
[Maximum mark: 6]
A supermarket analyses the shopping habits of its customers.
The number of times, , each customer visits the supermarket in a week is given by the following probability distribution.
| 1 | 2 | 3 | 4 | 5 | ||
|---|---|---|---|---|---|---|
| 0.281 | 0.026 | 0 |
-
(a)
- (i) Find the value of .
- (ii) Write down the mode of .
-
(b) Find the mean of .
The manager wants to know why customers come to their supermarket. They survey the first 50 customers to arrive at the supermarket on a particular day.
-
(c) Identify which one of the following best describes the manager's sampling method. Circle your answer.
Simple random / Systematic / Convenience / Quota / Stratified