$($Q$11-$Q$15)$ Nordic Inc. has designed four ski boot styles it plans to sell in the $2015$ winter season: Terrain, Blizzard, IceFix, and Freezdom. Nordic can produce some ski boot styles well in advance of the selling season and produce the remaining styles after the $2015$ Ski Elite Athletes Trade $($SEAT$)$ show that occurs just before the selling season. At the time it makes its initial production decision, Nordic$$s forecast for each boot$$s demand is normally distributed with means and standard deviations listed in the table below. The table also lists Cu$,$ Co$,$ the optimal Newsvendor quantity Q and the expected Newsvendor profits from producing Q$.$

Boot

Price

Mean

Std Dev

Cu

Co

Q

Expected Newsvendor Profit

Terrain

$200$

$100$

$30$

$48$

$16$

$120$

$$4,188$

Blizzard

$180$

$110$

$30$

$45$

$15$

$130$

$$4,376$

IceFix

$120$

$205$

$70$

$29\mathrm{.}4$

$9\mathrm{.}8$

$252$

$$5,152$

Freezdom

$150$

$195$

$85$

$23\mathrm{.}7$

$7\mathrm{.}9$

$252$

$$3,765$

After the trade show, and before it makes its final production decision, Nordic will know the exact demand for each boot.

Q$14)$ Suppose Nordic chooses to produce optimal quantities of the $$IceFix$$ style before the SEAT show. What is the probability that Nordic will have less than $25$ units of IceFix inventory left at the end of the season?

$($Note: The probability can be expressed as a fraction or a percentage. For example, if your answer is $0\mathrm{.}70(=70\%),$ you may enter the answer as either $0\mathrm{.}70$ or $70.)$