The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(one half)x
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Answer:
Approximately 95% of the numbers of days will be between 26 and 58.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 42
Standard Deviation, σ = 8
We are given that the distribution of average number of days between a bill is a bell shaped distribution that is a normal distribution.
Empirical Formula:
- According to Empirical formula almost all the data lies within three standard deviation of man for a normal distribution.
- Almost 68% of data lies within 1 standard deviation of mean.
- Almost 95% of data lies within two standard deviation of mean.
- Almost 99.7% of data lies within three standard deviation of mean.
Thus, by Empirical formula 95% of data lies within two standard deviation.
Thus, approximately 95% of the numbers of days will be between 26 and 58.