How would I do this please help.
1 answer:
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Answer:
Hence By End of the year with monthly compounded interest it will have 5522.56 $
Step-by-step explanation:
Given:
Initial investment =5.280 $
Rate of interest =4.2%
To Find:
Amount after the 1 year
Solution:
As the investment follows the rule for compound interest as ,
A=P(1+R)^t
Here A=amount after t years
R= rate of interest , P= principal amount t is time period
So given is monthly compounded interest
so t will divided into 12 parts as there 12 months in one year.
P=5280 $ , R=4.2/12 % , t=12
^12
A=5522.56 $
Answer:
15.15% probability that the sample mean will be $192,000 or more.
Step-by-step explanation:
To solve this problem, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
The probability that the sample mean will be $192,000 or more is
This is 1 subtracted by the pvalue of z when X = 192000. So
By the Central Limit Theorem
has a pvalue of 0.8485.
1-0.8485 = 0.1515
15.15% probability that the sample mean will be $192,000 or more.