A concessions manager at the Tech versus A&M football game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather forecast in College Junction, where the game is to be held. The manager estimates that the following profits will result from each decision, given each set of weather conditions: Weather Conditions Rain Overcast Sunshine Decision .03 .15 .55 Sun visors $- 500 $-200 $1,500 Umbrellas 2,000 -900 a. Compute the expected value for each decision, and select the best one. b. Develop the opportunity loss table, and compute the expected opportunity loss for each decision.

The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top 10 stocks of the "Dogs of the Dow" list for 2015, based on their performance the preceding year. Symbol Company T VZ CVX PFE GE MCD McDonald's MRK AT&T Verizon XOM Chevron Pfizer General Electric Merck CAT Caterpillar ExxonMobil Price ($) Yield 33.59 46.78 93.70 112.18 3.82% 31.15 25.27 56.79 91.53 92.45 5.48% KO Coca-Cola 42.22 4.70% 3.63% 3.60% 3.48% 3.17% 3.06% 2.99% 2.89% You decide to make a small portfolio consisting of a collection of 4 of the top 10 Dogs of the Dow. (a) How many portfolios are possible? 210 ✔ portfolios (b) How many of these portfolios contain MRK but not PFE? 8 X portfolios (c) How many of these portfolios contain at most one stock priced above $60? 210 X portfolios

Determine whether the study depicts an observational study or an experiment.   A scientist was studying the effects of a new fertilizer on crop yield. She randomly assigned half of the plots on a farm to group one and the remaining plots to group two. On the plots in group​ one, the new fertilizer was used for a year. On the plots in group​ two, the old fertilizer was used. At the end of the year the average crop yield for the plots in group one was compared with the average crop yield for the plots in group two.

Draw a weighted graph that represents this scenario.