Calculate ?(? < 8) if: (i) ? is the number of distinctionsreported in a year by 20 Colleges. Each College producesdistinctions at the rate of 0.2 per year independently of the otherColleges. (ii) ? is the number of claims examined up to andincluding the fourth claim that exceeds K20,000. The probabilitythat any claim received exceeds K20,000 is 0.3 independently of anyother claim. (iii) ? is the number of deaths amongst a group of 500TB patients. Each patient has a 0.01 probability of dyingindependently of any other patient. (iv) ? is the number of phonecalls made before an agent makes the first sale. The probabilitythat any phone call leads to a sale is 0.01 independently of anyother call.
