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.
a The mean of this distribution is
b The standard deviation is
c The probability that a person will be born at the exact moment that week 5 begins is P(x = 5) =
d The probability that a person will be born between weeks 16 and 42 is p(16< × <42)=
e The probability that a person will be born after week 26 is P(x > 26) =
f P(x > 13 | x < 24) =
g Find the 26th percentile.
h Find the minimum for the upper quartile.
Hint:
Written Hint
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