Problem $1.$

$(1$ point$)$ Lazlo Gali is studying task completion times at Saint Teresa's Hospital $($Saint Teresa's$)$ for the purpose of improving the company's ability to estimate task times. Building a project simulator is an important part of Lazlo's work.

The table below shows an empirical distribution Lazlo prepared for a common task:

$1$ & $0\mathrm{.}12\backslash \backslash 2$ & $0\mathrm{.}2\backslash \backslash 3$ & $0\mathrm{.}25\backslash \backslash 24$ & $0\mathrm{.}43\backslash \backslash$

Given the following U ~ unif$[0,1],$ calculate a random task duration that follows the given discrete distribution:

Please enter your answers as whole numbers:

U $=0\mathrm{.}2856=$X $=$