Abstract: The approximation of a nonlinear function of a random variable by a linear function is considered. An exponential function, which arises in problems such as random sampling and random ...

1: The time required for servicing transmissions is normally distributed with = 45 minutes and = 8 minutes. The service manager plans to have work begin on the transmission of a customer’s car 10 ...

The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given as x 0 1 2 3 4 p(x ...

On a certain track team, the runners all take between 4 and 7 minutes to finish a mile. The probability density function for the length of time it takes a runner to ...

This paper contains inequalities for the expectations of permutation-invariant concave functions and Schur-concave functions of the partial sums of nonnegative exchangeable random variables. Two ...

Forecasting for any small business involves guesswork. You know your business and its past performance, but you may not be comfortable predicting the future. Using Excel is a great way to perform what ...