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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.

  • The mean of this distribution is
  • The standard deviation is
  • The probability that a person will be born at the exact moment that week 39 begins is P(x = 39) =
  • The probability that a person will be born between weeks 18 and 21 is P(18<x<21)
  • =
  • The probability that a person will be born after week 38 is P(x > 38) =
  • P(x > 12 | x < 16) =
  • Find the 68th percentile.
  • Find the minimum for the upper quartile.
Math   Statistics-And-Probability   
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Answer #1

As this follows a Uniform Distribution, we first mention the upper and lower limit and then use the formulas mentioned to calculate the required probabilities.

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