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Answer :
Answer:
97.5%
Step-by-step explanation:
Find the z-score:
z = (x − μ) / σ
z = (116 − 150) / 17
z = -2
According to the empirical rule, 95% of a population are between -2 and +2 standard deviations. That means that half of that, or 47.5%, are between -2 and 0 standard deviations. Since 50% are greater than 0 standard deviations, the total probability is 47.5% + 50%, or 97.5%.
P(Z > -2) = P(-2 < Z < 0) + P(Z > 0)
P(Z > -2) = 47.5% + 50%
P(Z > -2) = 97.5%
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