Provide an example of a current decision-making situation (professional or personal life), where it is potentially beneficial to apply probability technique(s) be sure to include mean, weighted mean, median and mode for populations and samples in your response.

The revenue each season from tickets at the theme park is represented by t(c)=5x. the cost to pay the employees each season is represented by r(x)=(1.5)^x. examine the graph of the combined function for total profit and estimate the profit after four seasons

For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical form.

Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.