Z-score introduction

SOLVED: The formula to calculate the standardized normal random variable is (x - μ) / σ, where μ is the mean and σ is the standard deviation. If μ = 5000 and σ = 50, the z-value of x - 5025 is -0.5. If the z-score of a normal distribution is 2.5, the mean of the distribution is 45, and the standard deviation of the normal distribution is 3, then the value of x for the normal distribution is 97.5.

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