Q:1 I) A car hire firm has 2 cars, which it hires out day by day. The number of demand for a car on each day is distributed as a Poisson distribution with parameter 15 Calculane for proportion of days on which neither car is used, and the proportion of days on which some demand is refused. [e-.5=0.2231]. II) a) 8.36 Suppose that the number of insurance claims closely approximates a Poisson distribution with u= 0.05. Find the probability of (i) no claim and (ii) ! or fewer claims.b) Assume that the probability of being killed in an accident in a coal mine during a year is 1 1400 Use the Poisson distribution to calculate the probability that in the mine employing 350 miners, there will be at least one fatal accident in a year. Note : Business Statistics

DISCRETE PROBABILITY DISTRIBUTIONS 337 A car hire firm has 2 cars, which it hires out day by day. The number of demands for a car on each day is distributed as a Poisson distribution with parameter 1.5. Calculate the proportion of days on which neither car is used, and the proportion of days on which some demand is refused. [e =0.2231]. (BZ.U., B.AJB.SC. 1990)