Studying workers as they shovel different types of materials with different types of shovels in order to determine the most efficient tool and method to use is an example of:

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

The lee family is looking to buy a house in one of two suburban areas just outside of a major city, and air quality is a top priority for them. overall air quality is calculated by taking measures in 100 locations within each suburb and then calculating a measure of central tendency. in one suburb, there is a major bus station that creates very poor air quality at its location but has no impact in the surrounding parts of the suburb. in this situation, which measure of overall suburb air quality would be most useful?

You hold a diversified $100,000 portfolio consisting of 20 stocks with $5,000 invested in each. the portfolio's beta is 1.12. you plan to sell a stock with b = 0.90 and use the proceeds to buy a new stock with b = 1.50. what will the portfolio's new beta be? do not round your intermediate calculations.