population consists of 45 items, 35 of which are defective. In a sample of 4 items, what is the probability that exactly 3 are defective? For full marks your answer should be accurate to at least four decimal places. P(X=3) = 0 Question 5 [6 points] Police records show that there has been an average of 3 accidents per week on a new freeway. Calculate the probabilities if these accidents follow a Poisson p For full marks your answer should be accurate to at least four decimal places. a)Exactly 3 accidents in 2 weeks? P(x) = 0 b)More than 3 accidents in 3 weeks? P(x) = 0 c)Either 4 or 5 accidents in 2 weeks? P(x) = 0
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The number of ways to choose 3 defective items from 35 is given by the combination formula C(35,3). Similarly, the number of ways to choose 1 non-defective item from the remaining 10 is C(10,1). The total number of ways to choose 4 items from 45 is C(45,4). So, Show more…
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