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Unformatted text preview: Probability of success Exercise 1. Let x be a discrete random variable. Its mass function f(x) is tabulated below: X 1 2 3 4 f(x) 0.2 0.4 - 0.2 a) Compute f(3) b) Calculate the cdf F(x) of X for x=1, 2, 3, 4. What is the value of F(3.3)? 2. Traffic on a road is passing a point at rate of 300 vehicles per hour. Determine the probability that exactly 4 vehicles pass in a period of 30 seconds. Compare the results using the following. a) Binomial distribution b) Poisson distribution 3. n = 300, p = 0.007, what is the probability of exactly 6 success using binomial and Poisson distribution approximation? 4. The number of claims received per business day at an insurer’s office follows a Poisson distribution with a mean of 2.4. Determine the probability that there are two or more days in the next five business days with three or more claims each....
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