The following joint frequency distribution table shows responses from a sample of 189 unionized employees on how their union president handled a recent labour action. Employees were categorized by age group and by their level of approval. Age Group Approve Disapprove Indifferent Total under 25 8 31 20 59 25 to 40 20 35 5 60 over 40 25 23 22 70 Total 53 89 47 189 Report answers accurate to at least 4 decimal places. 1. What is the probability that a randomly selected employee: a) did not disapprove? b) was in the under 25 age group and disapproved? c) was not in the under 25 age group and disapproved? d) was in the over 40 age group or approved? e) was not in the over 40 age group or approved? f) was not over 40 and did not disapprove? 2. Given that an employee was in the under 25 age group, what is the probability that the employee a) was indifferent? b) did not approve? 3. What is the probability of selecting an employee that was in the over 40 age group from a group of employees that a) disapproved? b) did not approve?A four or vedigit PIN is to be selected from the seven digits 0,133,455. 1. How many 4-digit PINs are possible if: a] all 4 digits are the same? e..g 2 2 2 2 -. b} no digit can be repeated? :2) any digit can be repeated? .- d} the rst 2 digits must be different digits and the last 2 digits must be the same, but none of the rst 2 digits can be used in the last 2? I 2. Suppose any digit can be repeated how man).I 4-digit PINs are possible if each PIN: a] must start with "2"? l b} must not end with "U"? 2058 \\l l c) must neither start with "5" nor end with "5"? 11'64 I I 3. Suppose no digit can be repeated, how many 5-digit PINs are possible if each PIN: a] must start with "2"? l b} must not end with "U"? 2150 v I c) must neither start with "5" nor end with "5"? 1861] 1-: Question Help: E Message instructor