Question Two (10 Marks) 3. In the year 1918 a u like disease occurred in Spain and spread to the rest of the world. This year 2020 another similar u like disease has occurred in china and is spreading in the whole world. Researchers have found that the likelihood of the disease occurring again is 0.01 Determine the average number of us in the next 300 years and the likelihood that in the next 300 years, the disease will occur at most ve times. (6 marks) b. On average 20% of the calculators produced in a factory are faulty. Samples of 10 calculators are to be selected at a random each day. Each calculator will be selected and replaced in the set of calculators which have been produced on that day. Calculate the probability that in any one sample, two calculators or less will be faulty. (4 marks)