CS1 Practice Question

Q3. The random variable X has a probability density function.

Where k is a +ve constant

i)                 Show that k = 1.5

ii)                Calculate the probability P(X>0.25)

Q4. Claims on a group of policies arise randomly and independently of each other through time at an average rate of 2 per month.

(i) Calculate the probability that no claims arise in a particular month. [2]

(ii) Calculate the probability that more than 30 claims arise in a period of one year. [2]

CS1 Part 2 Solutions.pdf

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