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$7\mathrm{.}14$

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PA $13-1($Algo$)$ Dan McClure owns a thriving independent bookstore..

Dan McClure owns a thriving independent bookstore in artsy New Hope, Pennsylvania. He must decide how many copies to order of a new book, Power and Self$-$Destruction, an expos$$ on a famous politician's lurid affairs. Interest in the book will be intense at first and then fizzle quickly as attention turns to other celebrities. The book's retail price is $$24,$ and the wholesale price is $$18.$ The publisher will buy back the retailer's leftover copies at a full refund, but McClure Books incurs $$12$ in shipping and handling costs for each book returned to the publisher. Dan believes his demand forecast can be represented by a normal distribution with a mean of $200$ and a standard deviation of $70.$ Use Table $13\mathrm{.}4.$

Note: If a part of the question specifies whether to use Table $13\mathrm{.}4,$ or to use Excel, then credit for a correct answer will depend on using the specified method.

Dan will consider this book to be a blockbuster for him if it sells more than $375$ units. Using Table $13\mathrm{.}4$ and the round$-$up rule, what is the probability that Power and Self$-$Destruction will be a blockbuster?

Note: Round your answer to $4$ decimal places.