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A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data greater than 6.9.

about 16 %

about 34%

about 13.5%

about 2.5%

User Akbarbin
by
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2 Answers

5 votes

Answer:

2.5

Explanation:

User Dayanand Waghmare
by
8.3k points
4 votes
P(x > 6.9) = 1 - P(x < 6.9) = 1 - P[z < (6.9 - 5.1)/0.9] = 1 - P(z < 2) = 1 - 0.97725 = 0.02275.

Therefore P(x > 6) is about 2.5%
User Josh Bodah
by
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