isaiahjohnson634 isaiahjohnson634
  • 11-01-2021
  • Mathematics
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Students obtained a mean score of 400 and standard deviation of 40 in a test with a bell-shaped distribution. What approximate percentage of the students above 520

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fichoh
fichoh fichoh
  • 12-01-2021

Answer:

0.00135

Step-by-step explanation:

Given that :

Mean, μ = 400

Standard deviation, σ = 40

Approximate percentage of students above 520 ;

Using the relation :

Z = (x - mean) / standard deviation

P(x > 520)

Zscore = (520 - 400) / 40

Zscore = 120 / 40

Z = 3

P(Z > 3) = 1 - P(Z < 3)

P(Z < 3) = 0.99865 (Z probability calculator)

1 - 0.99865 = 0.00135

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