The D'Lux urban Gym$-$Spa$-$Club caters to an affluent clientele of deputy ministers and senior civil servants. Only annual memberships are sold, and the wait to join is several months. However, Rex, the owner$-$manager, noted that in the off$-$peak period, from noon to $3$ p$.$m$.,$ traffic was quite variable, and there was often enough space to accommodate other customers. Analyzing his data, he estimated that on a typical day, the number of free spaces followed a discrete uniform distribution between $1$ and $25$ inclusive, i$.$e$.$ the probability of $1$ free space equals the probability of $2$ free spaces equals the probability of $3$ free spaces, and so on up to $25.$ The probability of there being more than $25$ free spaces is zero.To take advantage of this variable traffic, Rex will sell day passes for $$90$ each. Such a pass will be valid only for one visit, between noon and $3$ p$.$m$.,$ on the day indicated on the pass. However, to preserve subscriber privileges, Rex will refuse entry to a passholder if there is no space available to receive him$/$her when he$/$she arrives. In this case, Rex will validate the pass for a future visit and compensate the holder with a $$30$ coupon valid at the boutique or D'Lux bistro.Use the camelot model to estimate how many passes Rex should sell for one day. Round the final result to zero decimals.