anonymous
  • anonymous
In a shop customers who pay with cash have the final price rounded to the closest five cents(in other words purchase is payed in five cent accuracy). Lets assume that the "loss" caused by a customer paying in cash after rounding the final price in cents (=X) is continuously uniformly distributed u[-2.5,2.5]. In the shop 1000 of the visiting customers pay in cash. What is the probability that the loss caused by the rounding of the final price (in other words X1 + X2 +...+X1000) is at least $1?
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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