# Question

Fifty numbers are rounded off to the nearest integer and then summed. If the individual roundoff errors are uniformly distributed over (−.5, .5), approximate the probability that the resultant sum differs from the exact sum by more than 3.

## Answer to relevant Questions

We have $20,000 that must be invested among 4 possible opportunities. Each investment must be integral in units of $1000, and there are minimal investments that need to be made if one is to invest in these opportunities. The ...A die is continually rolled until the total sum of all rolls exceeds 300. Approximate the probability that at least 80 rolls are necessary. Compute the measurement signal-to-noise ratio—that is, |μ|/σ, where μ = E[X] and σ2 = Var(X)—of the following random variables: (a) Poisson with mean λ; (b) Binomial with parameters n and p; (c) Geometric with mean ...The following algorithm will generate a random permutation of the elements 1, 2, . . . , n. It is somewhat faster than the one presented in Example 1a but is such that no position is fixed until the algorithm ends. In this ...Let F be the distribution function F(x) = xn 0 < x < 1 (a) Give a method for simulating a random variable having distribution F that uses only a single random number. (b) Let U1, . . . ,Un be independent random numbers. ...Post your question

0