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Mathematics, 08.03.2021 21:00 JNH16

John has two jobs. For daytime work at a jewelry store he is paid $15,000 per month, plus a commission. His monthly commission is normally distributed with mean $10,000 and standard deviation $2000. At night he works occasionally as a waiter, for which his monthly income is normally distributed with mean $1,000 and standard deviation $300. John's income levels from these two sources are independent of each other. Referring to Scenario 6-2, for a given month, what is the probability that John's commission from the jewelry store is more than $9,500?

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