Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ=0.1λ=0.1. What is (a) the probability that a repair time exceeds 99 hours? (b) the conditional probability that a repair takes at least 1212 hours, given that it takes more than 77 hours?

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Andres wants to share 1/2 of his birthday cake with his friends. if he has 8 friends, how much of the cake will each friend recieve? draw a model to support your work (its ok if you cant)

Achild has a box full of colored building blocks. she will choose one block without looking. the odds against choosing a blue block are 4/7. what is the probability of choosing a blue block? amanda is playing a role-playing game with her friends. she will roll dice to determine if her character unlocks a treasure chest. the probability of her character unlocking the treasure chest is 13/20. find the odds in favor of her character unlocking the treasure chest.