Consider the following probability distribution for stocks A and B: State Probability Return on A Return on B 1 .15 8% 8% 2 .2 13% 7% 3 .15 12% 6% 4 .3 14% 9% 5 .2 16% 11% What is the expected return on stock A

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

The usa today reports that the average expenditure on valentine's day is $100.89. do male and female consumers differ in the amounts they spend? the average expenditure in a sample survey of 47 male consumers was $135.67, and the average expenditure in a sample survey of 38 female consumers was $68.64. based on past surveys, the standard deviation for male consumers is assumed to be $34, and the standard deviation for female consumers is assumed to be $17.

You own a nonunion company with 93 nonexempt employees. all of these employ- ees pack books into boxes for shipment to customers throughout the united states. because of wide differences in performance, you have decided to try performance appraisal, something never done before. until now, you have given every worker the same size increase. now you want to measure performance and reward the best performers with bigger increases. without any further information, which of the five types of appraisal formats do you think would be most appropriate? justify your answer. do you anticipate any complaints, or other comments, from employees after you implement your new system?