The following data shows the average wait time $($minutes$)$ of people waiting to withdraw from ATM machine

$0\mathrm{.}504\mathrm{.}25567\mathrm{.}251\mathrm{.}754\mathrm{.}255\mathrm{.}2567\mathrm{.}2524\mathrm{.}255\mathrm{.}256\mathrm{.}257\mathrm{.}252\mathrm{.}254\mathrm{.}255\mathrm{.}56\mathrm{.}257\mathrm{.}752\mathrm{.}254\mathrm{.}55\mathrm{.}56\mathrm{.}582\mathrm{.}54\mathrm{.}755\mathrm{.}56\mathrm{.}58\mathrm{.}252\mathrm{.}754\mathrm{.}755\mathrm{.}756\mathrm{.}59\mathrm{.}53\mathrm{.}254\mathrm{.}755\mathrm{.}756\mathrm{.}759\mathrm{.}53\mathrm{.}75566\mathrm{.}759\mathrm{.}753\mathrm{.}75566\mathrm{.}7510\mathrm{.}75$

a$.$ Calculate the mean and standard deviation $($hint: you should not be typing all those numbers but importing them in Excel$)$

b$.$ Calculate the probability that a person will wait less than $6$ minutes.