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In: Statistics and Probability

Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said...

Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform distribution from 1 to 53 (a spread of 52 weeks). Round answers to 4 decimal places when possible.

  1. The mean of this distribution is
  2. The standard deviation is
  3. The probability that a person will be born at the exact moment that week 52 begins is P(x = 52) =
  4. The probability that a person will be born between weeks 20 and 34 is P(20<x<34)P(20<x<34) =
  5. The probability that a person will be born after week 14 is P(x > 14) =
  6. P(x > 6 | x < 19) =
  7. Find the 23rd percentile.
  8. Find the minimum for the upper quartile.

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