Given a normal distribution with a mean of 128 and a standard deviation of 15, what percentage of values is within the interval
83 to 173?
A. 32%
B. 50%
C. 68%
D. 95%
E. 99.7%
1 answer:
Answer:
E. 99.7%
Step-by-step explanation:
Calculate each z-score.
z = (x − μ) / σ
z = (173 − 128) / 15
z = 3
z = (x − μ) / σ
z = (83 − 128) / 15
z = -3
You can use a z-score table, or use the empirical rule.
P(-3 < z < 3) = 99.7%.
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