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A shopping mall has three automated teller machines (ATMs). Because the machines receive heavy use, they sometimes stop working and need to be repaired. Let

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A shopping mall has three automated teller machines (ATMs). Because the machines receive heavy use, they sometimes stop working and need to be repaired. Let the random variable X represent the number of ATMs that are working when the mall opens on a randomly selected day. The table shows the probability distribution of X. Number of ATMs working when the mall opens 0 2 3 Probability 0.15 0.21 0.40 0.24 What is the probability that at least one ATM is working when the mall opens? P(r 2 1) = What is the expected value of the number of ATMs that are working when the mall opens? E(2) = What is the probability that all three ATMs are working when the mall opens, given that at least one ATM is working? P(r = 3| 1 21) =

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