An analyst has timed a metal$-$cutting operation for $50$ cycles. The average time per cycle was $10\mathrm{.}40$ minutes, and the standard deviation was $1\mathrm{.}20$ minutes for a worker with a performance rating of $125$ percent. Assume an allowance of $16$ percent of job time. Find the normal time for this operation. Answer choices: $1\mathrm{.}14$

$1\mathrm{.}93$

$1\mathrm{.}78$

$1\mathrm{.}37$