(a) In an insurance company the average number of sick leaves for an employee is 0.5 per month. The numbers of sick leaves in different months are independent. Under appropriate assumptions about the distribution, find the probability that the number of sick leaves for an employee is at least four days in a year. Write down and justify your assumptions.
(b) An insurance company has three different types of employees, with 100 people of each type. Find the probability that a random group of 20 employees will miss at least one type. You can keep your answer in raw form.
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