the data are normally distributed with a mean of 74.674.6 hours and a standard deviation of 9.19.1 hours. So 10.2% of gadgets were powered by batteries for fewer than 63 hours.
Given that,
Data have a mean of 74.6 hours and a standard deviation of 9.1 hours, and they are regularly distributed.
The standard deviation is defined as ?
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.
[tex]p(X\leq 63) = p(Z\leq 63-74.6/9.1)[/tex]
From standard deviation,
[tex]p(X\leq 63) = p(Z\leq -1.279)= 0.1061[/tex]
a certain percentage of gadgets have battery life of less than 63 hours.
X= 63 hours
Percentage of devices ran on the batteries for fewer than 63 hours = 10.2%
Therefore, 10.2% of electronic devices had battery life of less than 63 hours
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