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emily200705
11.10.2019 •
Mathematics
The population of a certain geographic region is approximately 125 million and grows continuously at a relative growth rate of 1.59%. what will the population be in 5 years?
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Ответ:
15.25% probability that the bottle contains between 12.3 and 12.36 ounces.
Step-by-step explanation:
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.
In this problem, we have that:
Find the probability that the bottle contains between 12.3 and 12.36 ounces.
This is the pvalue of Z when X = 12.36 subtracted by the pvalue of Z when X = 12.3
X = 12.36
X = 12.3
0.1587 - 0.0062 = 0.1525
15.25% probability that the bottle contains between 12.3 and 12.36 ounces.