QUESTION 22 - THE BINOMIAL AND POISSON DISTRIBUTIONS [25 MARKS]- a ) It has been estimated that 35% of all new employees of the WindThroft company have a first degree. In a sample of 10 new employees. (i) What is the probability that exactly 4 of them have first degrees? [2 marks] (ii) What is the probability that at least three (3) of them have first degrees? [8 marks] (iii) Calculate the Mean, Variance and Standard deviation of the distribution [5 marks] b) The number of accidents on a particular cargo ship average 4.4 per year. If the number of accidents follows a Poisson distribution, what is the probability that there are more than 2 accidents next year? [7 marks] ii. Find the Mean, Variance and Standard deviation of the distribution [3 marks]