Given a normal distribution with μ=50 and σ= 10 find the probability (area) that X assumes a value between 45 and 62.
Added by David M.
Step 1
The Z-score is calculated using the formula: \[ Z = \frac{X - \mu}{\sigma} \] where \( \mu \) is the mean and \( \sigma \) is the standard deviation of the original distribution. For \( X = 45 \) and \( X = 62 \): \[ Z_{45} = \frac{45 - 50}{10} = -0.5 \] \[ Z_{62} Show more…
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