A random variable x is normally distributed with a mean of 250 and a standard deviation of 50. Given that x = 175, its corresponding z-score is -1.50.

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Astria Hollingsworth · Accepted Answer

Final Answer : True, Explanation :   The z-score is calculated as   z = x − μ σ z = \frac{x - \mu}{\sigma} z = σ x − μ ​  , where   x x x   is the value in question,   μ \mu μ   is the mean, and   σ \sigma σ   is the standard deviation. Substituting the given values,   z = 175 − 250 50 = − 1.5 z = \frac{175 - 250}{50} = -1.5 z = 50 175 − 250 ​ = − 1.5  .

A random variable x is normally distributed with a mean of 250 and a standard deviation of 50. Given that x = 175, its corresponding z-score is -1.50.

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