Question

In: Statistics and Probability

You have a normal population with a mean of 1000 and a standard deviation of 100....

You have a normal population with a mean of 1000 and a standard deviation of 100. Determine the scores associated with the following percentiles:

  1. 50%
  2. 45%
  3. 95%
  4. 5%
  5. 77%

Solutions

Expert Solution

Given that, mean = 1000 and standard deviation = 100

We want to find, the values of x for the following percentiles.

a) P(X < x) = 0.50

Required score = 1000

b) P(X < x) = 0.45

Required score = 987

c) P(X < x) = 0.95

Required score = 1165

d) P(X < x) = 0.05

Required score = 835

e) P(X < x) = 0.77

Required score = 1074


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