Q1. James and Jamie are two salespersons in the same team. Every month, the amount of sales that James secures is uniformly distributed between $9,500 and $10,500; and every month, the amount of sales that Jamie (independently) secures is uniformly distributed between $9,000 and $11,000. What is the probability that in the next month, James will secure more sales than Jamie? Explain your answer carefully Q2. The lifetimes of a specific brand of alkaline batteries (measured in hours) is exponentially distributed with mean lifetime of 20 hours. Alex just buys two batteries of this brand and labels them Battery A and Battery B. Then, Alex uses them to power his computer mouse, which requires two batteries to operate. The mouse is extremely sensitive to its power supply, in the sense that if any of the two batteries run out, it can no longer operate. What is the probability that the operating time of Alex’s computer mouse with Batteries A and B is less than 20 hours?
Q1. James and Jamie are two salespersons in the same team. Every month, the amount of
sales that James secures is uniformly distributed between $9,500 and $10,500; and every
month, the amount of sales that Jamie (independently) secures is uniformly distributed
between $9,000 and $11,000. What is the
secure more sales than Jamie? Explain your answer carefully
Q2. The lifetimes of a specific brand of alkaline batteries (measured in hours) is
exponentially distributed with mean lifetime of 20 hours. Alex just buys two batteries
of this brand and labels them Battery A and Battery B. Then, Alex uses them to power
his computer mouse, which requires two batteries to operate. The mouse is extremely
sensitive to its power supply, in the sense that if any of the two batteries run out, it can
no longer operate. What is the probability that the operating time of Alex’s computer
mouse with Batteries A and B is less than 20 hours?
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