There is a special calculator that when adding numbers rounds the number to the closest integer....

There is a special calculator that when adding numbers rounds the number to the closest integer. For example, 1.1 + 2 + 3.6 will be calculated as 1 + 2 + 4. The error from each addition follows a uniform distribution of (-0.5, 0.5).

a. When 1500 numbers are added, what is the probability that the absolute value of the total error is greater than 15?

b. How many numbers can be added until the probability of the absolute value of the total error being less than 10 is equal to 0.9?

Please thoroughly explain where each equation comes from and how to work the problem!

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Expert Solution

orchestra answered 1 year ago

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