In 2010, the population of a town was 8500. The population decreased by 4.5% each year.
1 answer:
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Answer:
a) E(y) = 0.8
b) The average subcharge is $165
Step-by-step explanation:
We are given the following distribution in the question:
y: 0 1 2 3
P(y): 0.50 0.25 0.20 0.05
a) E(y)
b) Expected value of subcharge
Subcharge =
Expected value of subcharge =
Thus, the average subcharge is $165
To transform the function 
to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have 
To transform the function
to have the midline 
we need to subtract 
by 4, so we have 
,
To transform the function to have period of 
, we need to divide the original period 
by 4, so we have 
. Note that it is the 
gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given
which is the last option
To transform the function
To transform the function
Hence, the full transformation is given