Each cone is filled with vanilla ice cream. We denote by $Y$ the random variable which, to each cone, associates the mass (expressed in grams) of ice cream it contains. It is assumed that $Y$ follows a normal distribution $\mathscr{N}\left(110 ; \sigma^{2}\right)$, with mean $\mu = 110$ and standard deviation $\sigma$. An ice cream is considered marketable when the mass of ice cream it contains belongs to the interval $[104; 116]$. Determine an approximate value to $10^{-1}$ of the parameter $\sigma$ such that the probability of the event ``the ice cream is marketable'' is equal to 0.98.
Each cone is filled with vanilla ice cream. We denote by $Y$ the random variable which, to each cone, associates the mass (expressed in grams) of ice cream it contains. It is assumed that $Y$ follows a normal distribution $\mathscr{N}\left(110 ; \sigma^{2}\right)$, with mean $\mu = 110$ and standard deviation $\sigma$.
An ice cream is considered marketable when the mass of ice cream it contains belongs to the interval $[104; 116]$.
Determine an approximate value to $10^{-1}$ of the parameter $\sigma$ such that the probability of the event ``the ice cream is marketable'' is equal to 0.98.