1. Consider the following recorded data available for a firm regarding the fleet of automobiles and accidental losses and answer the question that follow. Year No. of Automobiles No. of Accidents Monetary Loss 1 10 3 Birr 3,000 23 13 3 3,900 16 4 4,600 4 19 4 5,300 5 22 4 5,400 69 23 5,600 27 30 5 6,200 5 6,000 7 8 The firm is going to run 35 automobiles next year (A) Determine the probability of an accident and the loss per accident (B) Construct Poisson probability distribution (C) What are the expected number of accidents and that of monetary loss? (D) What is the probability that the firm will face losses totaling 10,000 or more? (E) What is the probability that the firm facing some accident? (F) Determine the standard deviation of an accidents and establish the range of an accidents taking 2 SD as a measure of risk (G) Calculate Rm and Rn and interpret the result (H) Compute the standard deviation of monetary loss and establish the range of monetary loss taking 1 SD as a measure of risk (I) Assume the number of exposure units increased to 40, 60, and 100 from year 10 to 12 respectively and show how risk decreases with the increase in the number of cars
