Answer:
Step-by-step explanation:
This is a question from conditional probability.
We are given:
And, we need to find P(A | B)
According to the formula of conditional probability:
Using the values, we get:
Thus, the probability of occurrence of event A given that event B has already occurred is
Answer: 1) $9000
2) $5340
3)59.3%
Step-by-step explanation:
Since we have given that
Worth of life insurance = $60000
Amount of premium = $900
After the end of 10 years,
1) Amount of premium Tom had paid is given by
2) At the end of 10 years ,
The cash value of his policy by using the table is given by
3) At the end of 10 years ,
Ratio of cash value to premiums paid be
Answer:
There are three possible combinations of positive integers such that a > b:
(1) a = 15 and b = 15
(2) a = 20 and b = 12
(3) a = 45 and b = 9
Step-by-step explanation:
Notice that the possible factors (different from "1") of the denominator "15" are: 3, 5, and 15.
The answer for the case a = 15 and b = 15 is obvious since :
Then the possibility of a multiple of 5 for one of the denominators (let's say 5*n) and a multiple of 3 (let's say 3*m)for the other one gives the general equation:
which should verify the following as we try to solve for one of the unknowns multiplicative factors which by the way have to be positive for the requirement given in the problem:
This last equation is very simple to analyze using integer values for "n" which would render a positive value on the right hand side, and then check from that set the ones that give an integer for the value "m".
Those found were:
For n=3, and m=5, a=15, and b=15 (the obvious solution discussed above)
For n = 4 and m = 4, a = 20, and b = 12
and for n=9 and m=3, a=45 and b = 9