Given that the weekly incomes of the accountants in an accounting firm at Botswana follows a normal distribution with a mean of 2,000 and a standard deviation of 500. 1) Calculate the probability of selecting an accountant whose weekly income is between 1,900 and 2,100. ii) Calculate the probability of selecting an accountant whose weekly income is less than 1,500. b) A health and safety agency is studying the number of lost time injuries occurring at a steel production company in Cardiff. The past records showed that 7% of the workers suffered lost time injuries last year. The management believes that a safety - training programme will reduce such injuries to 5% this year. In addition, it estimates that 20% of workers who had lost time injuries last year will experience a lost time injury during this year. Calculate the probability that: i) The worker will experience lost time injuries in both years. ii) The worker will suffer at least one lost time injury over the two-year period.