The managers of a mutual fund company are looking at account values among investors in their funds. Upon analyzing the investor records, they find that the mean investor account value is 19,000, with a standard deviation of $4,400. Assuming that the account values are normally distributed:
1.) Calculate z for an account value of $21,200.
2.) What is the probability that a randomly chosen account will have a value of less than 10,200?
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