## (Solved) The classic video game Super Mario Bros. has 32 stages. Suppose the time required to complete each stage is an Exponential random variable with a...

The classic video game Super Mario Bros. has 32 stages. Suppose the time required to complete each stage is an Exponential random variable with a mean of 1 minute and 45 seconds. (a) Assume all the stages will be completed and each stageâ€™s time is independent of the others. Identify the distribution ofthe total time taken (in minutes). (b) Identify the distribution of the number of stages completed in one hour. (c) Compute the probability of completing all 32 stages within one hour.
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