Statistics for Regional Planners
SRP520S
Question 8
A survey estimates that the probability of planners promote community development is 0.55. Of the
planners who promote community development, 75% also advocate the importance of regional
planning. What is the probability that a randomly selected planner believes in both community
development and regional planning?
(2)
Question 9
Let X represent the number of times a local authority has engaged in participatory planning recently.
Assuming that the probability distribution of Xis approximately: P(0) =0.15, P(l) =0.30, P(2) =0.20,
P(3) =0.10 and P(4) =0.25.
a) Is X a discrete or a continuous variable? Please explain briefly.
(2)
b) Construct a table showing the probability distribution.
(4)
c) Find the mean of the probability distribution.
(3)
(9)
Question 10
As a regional planner, you have the task of sampling from the 40,000 residents in a region to find out
the percentage of inhabitants who believe the regional council should invest more in community
development. Explain how you would proceed if you want a systematic random sample of 200
residents.
(2)
Question 11
The weights of a sample offive spatial planners are as follows: 100, 120, 90, 80 and 105. Calculate
the following for the weights:
a) Mean
(3)
b) Sample variance
(4)
c) Sample standard deviation
(3)
(10]
Supplementary/Second Opportunity Examination Question Paper
Page 4 of 5 January 2025