Find the compound interest of php 50,000 invested at 10% interest in 5 years
1 answer:
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Answer:
There is an 84% probability that your standard refrigerator will last between 12 and 20 years.
Step-by-step explanation:
Problems of normally distributed samples can be 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.
In this problem, we have that:
A standard refrigerator's mean life expectancy is 18 years with a standard deviation of 2 years. This means that .
What is the probability that your standard refrigerator will last between 12 and 20 years?
This probability is the pvalue of Z when subtracted by the pvalue of Z when
. So
X = 20
has a pvalue of 0.8413
X = 12
has a pvalue of 0.0014
This means that there is a 0.8413-0.0014 = 0.8399 = 0.84 = 84% probability that your standard refrigerator will last between 12 and 20 years.
Answer:
3.39
Step-by-step explanation:
We will use SD formula to find our answer.
= Standard deviation.
= Mean.
N= Numbers of data-points.
We have been given that mean of our data set is 9. So we will find the square of each data point's distance to the mean.
Now let us substitute our given values in above formula.
Upon adding the square of distances we will get,
Upon dividing 46 by 4 we will get,
Upon taking square root of 11.5 we will get,
Therefore, the standard deviation for our given data set will be 3.39.