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Mathematics
26 August, 00:50
Mean=121
Standard Deviation=9
Find P (x>1103)
97.5%
0.5%
68%
95%
+5
Answers (
1
)
Natalie Le
26 August, 01:05
0
97.5%
Step-by-step explanation:
Find the z-score.
z = (x - μ) / σ
z = (103 - 121) / 9
z = - 2
We can use a table or calculator to find the probability:
P (Z > - 2) = 0.975
Alternatively, we can use the Empirical rule. 95% of the normal distribution is between - 2 and + 2 standard deviations. Since a normal distribution is symmetrical, 47.5% is between - 2 and 0. 50% is greater than 0. So the percent greater than - 2 is 47.5% + 50% = 97.5%.
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