Question

Find the probability that the sums will fall between the z-scores –2 and 1.

Short answer

Probability is a statistical term used to calculate the number of chances in an appropriate problem.

Step-by-step solution

Given information

Explanation:

The sample size of a hundred is randomly drowned from cans of the same soda with the mean$39.01$and the standard deviation$0.5$.

The standard deviation is;

$\sum X=\left(n\right)\left({\mu }_X\right)+\left(z\right)\left(\sqrt{n}\right)\left({\sigma }_X\right)$

$=100\times 39.01-2\times \sqrt{100}\times 0.5$

role="math" localid="1648622152547" $=3891$

Another step of standard deviation is;

$\sum X=\left(n\right)\left({\mu }_x\right)+\left(z\right)\left(\sqrt{n}\right)\left({\sigma }_x\right)$

$=100\times 39.01+1\times \sqrt{100}\times 0.5$

$=3906$

The percentage is$81.86\%$

Final answer

Thus the percentage for the given standard deviation is$81.86\%$