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Could you please help me to answer these three questions(2,5,10)? and some explanation? Please focus on the questions 2 and (5)(iii) and (10)(ii) which are

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Could you please help me to answer these three questions(2,5,10)? and some explanation?

Please focus on the questions 2 and (5)(iii) and (10)(ii) which are really confused:(

image text in transcribedimage text in transcribedimage text in transcribed
(2) [10 marks] Suppose we have is computer servers and m jobs that needs to be assigned to these servers. We are using a random allocation strategy such that each job is randomly assigned to a server. A server fails if there is more than one job assigned to it. Calculate the probability that no server fails. (5) [25 marks] You shufe a deck of cards and deal your friend 5 cards. 0 What is the probability that they have exactly one ace in their 5 cards? [5 marks] 0 What is the probability that they have the ace of spades in their 5 cards? [5 marks] 0 Suppose your friend says, \"I have the ace of spades\". What is the probability that they have exactly two aces? [5 marks] 0 Suppose your friend says, \"I have at least one ace\". What is the probability that they have at least two aces? [10 marks] (10) [20 marks] Suppose that an insurance company classies people into one of three classes , good risks, average risks, and bad risks. Their records indicate that the probabilities that good, average, and bad risk persons will be involved in an accident over a 1year span are, respectively, 005, 0.15, and 0.30. If 20% percent of the population are \"good risks\

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