The Federal Financial Institutions Examination Council (FFIEC) promotes uniform practices among the federal financial institutio
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Answer: $13,464.23
Explanation:
Kate is saving a constant amount of $1,410 per year so indeed it is an annuity.
The amount she will have in the account after 8 years is the future value of the annuity after 8 years.
The formula is;
Future Value of Annuity = Annuity * (future value factor of annuity, 8 years, 5%)
= 1,410 * 9.5491
= 13,464.231
= $13,464.23
Answer:
And we can find this probability using the complement rule and excel or a calculator and we got:
Explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the rating score of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and excel or a calculator and we got: