This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
a) Step 1: Calculate the total number of Graduate Professionals. Total number of Graduate Professionals = Number of Employed Bankers + Number of Unemployed Bankers + Number of Employed Accountants + Number of Unemployed Accountants Total = 120 + 40 + 80 + 260 = 500 a) (i) Calculate the probability that the chosen Graduate is an Employed Accountant. Number of Employed Accountants = 80 P(Employed Accountant) = Number of Employed AccountantsTotal number of Graduate Professionals P(Employed Accountant) = (80)/(500) P(Employed Accountant) = (8)/(50) P(Employed Accountant) = (4)/(25) P(Employed Accountant) = 0.16 The probability that the chosen Graduate is an Employed Accountant is (4)/(25) or 0.16. a) (ii) Calculate the probability that the chosen Graduate is an Unemployed Banker. Number of Unemployed Bankers = 40 P(Unemployed Banker) = Number of Unemployed BankersTotal number of Graduate Professionals P(Unemployed Banker) = (40)/(500) P(Unemployed Banker) = (4)/(50) P(Unemployed Banker) = (2)/(25) P(Unemployed Banker) = 0.08 The probability that the chosen Graduate is an Unemployed Banker is (2)/(25) or 0.08. b) Step 1: Identify the total number of employees. Total number of employees = 150 Step 2: Determine the number of workers who are either male or female. In a company, all workers are either male or female. Therefore, the number of workers who are either male or female is equal to the total number of employees. Number of workers (male or female) = 150 Step 3: Calculate the probability. P(male or female worker) = Number of workers (male or female)Total number of employees P(male or female worker) = (150)/(150) P(male or female worker) = 1 The probability of selecting a worker who is either a male or female worker is 1.