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According to the given details, the length of time a particular smartphone's battery lasts follows the exponential distribution. The mean of the distribution is $\mathrm{μ}=10$months and the sample size is 64.

The exponential distribution is used to determine how long a smartphone's battery lasts. The exponential distribution's probability density function

$X~Exp\left(m\right)$, where $m$is the decay parameter is given as:

$f\left(X\right)=m{e}^{(-mX)}$

Where and $m>0$. The standard deviation of the exponential distribution is given as below:

$\mathrm{σ}=\mathrm{μ}$

=10

According to the given details, the length of time a particular smartphone's battery lasts follows the exponential distribution. The mean of the distribution is$\mathrm{μ}=10$months and the sample size is 64.

The exponential distribution$X~Exp\left(m\right)$, where$m$is the decay parameter, which is given as below:

$m=\frac{1}{\mathrm{μ}}$

$=\frac{1}{10}$

=0.1