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26 August, 00:50

Mean=121

Standard Deviation=9

Find P (x>1103)

97.5%

0.5%

68%

95%

+5
Answers (1)
  1. 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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