Questions $27$ to $30$ are based on the following information:

J&J is a major manufacturer of the flu vaccine in the U$.$S$.$ J&J manufactures the vaccine before the flu season at a cost of $$8$ per dose $($a $``$dose$\text{'}\text{'}$ is vaccine for one person$).$ During the flu season J&J sells doses to health$-$care providers for $$24.$ However, sometimes the flu season is mild and not all doses are sold $---$ if a dose is not sold during the season then it is worthless and must be thrown out. For next year flu season, the demand distribution $($in millions of doses$)$ for flu doses is as follows:

Demand$\_$dist$\_$final$-1.$JPG

If J&J manufactures $55$ million doses, what is the probability of stocking out this flu season?