Answer:
The total amount received is: $1906650
Step-by-step explanation:
Given
--- initial
--- rate
--- time
Required
Determine the total amount at the end of 29 years
The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms
Where
Express percentage as decimal
The required is the calculated using:
So, we have:
<em>The total amount received is: $1906650</em>
Answer:
a) (1,2), (1,3), (1,4), (1,5), (2,3), (2,4),(2,5),(3,4), (3,5) and (4,5)
b)
PX(0) = 0.3
PX(1) = 0.6
PX(2) = 0.1
c)
Step-by-step explanation:
Lets call the boards 1,2,3,4 and 5
a) There are possible outcomes: (1,2), (1,3), (1,4), (1,5), (2,3), (2,4),(2,5),(3,4), (3,5) and (4,5).
b) X is 0 if the selected boards doesnt contain 1 or 2. There are possibilities for this, in concrete, (3,4), (3,5) and (4,5).
PX(0) = 3/10 = 0.3
There is only 1 possibility so that X = 2, which is (1,2), therefore
PX(2) = 1/10 = 0.1
In any other case (there are 6 remaining), X will be equal to 1, so
PX(1) = 6/10 = 0.6
Therefore, X has the following distribution
PX(0) = 0.3
PX(1) = 0.6
PX(2) = 0.1
c) F(0) = 0.3
F(1) = 0.3+0.6 = 0.9
F(2) = 1
We have, as a consequence