The percent frequency distributions of job satisfaction scores for a sample of information systems (15) senior executives and middle managers are as follows. The scores range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied). Job IS Senior IS Middle Satisfaction Executives (%) Managers (%) Score 1 S 4 2 9 10 3 28 8 4 5 42 16 46 32 If required, round your answers to two decimal places. (a) Develop a probability distribution for the job satisfaction score of a randomly selected senior executive. 1 2 3 4 5 f(x) (b) Develop a probability distribution for the job satisfaction score of a randomly selected middle manager. f(x) 1 2 5 16 32 If required, round your answers to two decimal places. (a) Develop a probability distribution for the job satisfaction score of a randomly selected senior executive. 1 3 5 f(x) (b) Develop a probability distribution for the job satisfaction score of a randomly selected middle manager. f(x) 2 (c) What is the probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5 (d) What is the probability that a randomly selected middle manager is very satisfied? (e) Compare the overall job satisfaction of senior executives and middle managers. Senior executives appear to be less satisfied than middle managers.