Reference no: EM13580797

Q1) An electronics company is about to launch a new product. If the serial number for each piece produced has the following format: LLNNN where L stands for any letter in the English alphabet and N is a number from 0 to 9, please answer the following:

a) What is the name of the counting rule used to find all the possible outcomes?

b) How many different items can be uniquely numbered?

Q2) A company needs to select an expert group of consultants to provide advice for a given project. How many possible selections consisting of 2 project managers, 2 legal advisors, 4 computer scientists and 3 systems engineers can be selected if the company can pick from 4 project managers, 7 legal advisors, 5 computer scientists and 6 systems engineers? Think carefully about the counting rules involved before attempting to do any calculations.

Q3) Consider that you are a line manager in your current Corporation. There is a 0.50 probability that you will be promoted this year. There is a 0.65 probability that you will get a promotion or a raise. The probability of getting a promotion and a raise is 0.35. (Use letter P to denote promotion and letter R to denote raise.)

a. If you get a promotion, what is the probability that you will also get a raise?

b. What is the probability that you will get a raise?

Please show all the steps in your calculations