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 44 begins is P(x = 44) = d. The probability that a person will be born between weeks 13 and 51 is P(13 < x < 51) = e. The probability that a person will be born after week 27 is P(x > 27) = f. P(x > 17 | x < 20) = g. Find the 85th percentile. h. Find the minimum for the upper quartile.

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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 44 begins is P(x = 44) =
d. The probability that a person will be born between weeks 13 and 51 is P(13 < x < 51) =
e. The probability that a person will be born after week 27 is P(x > 27) =
f. P(x > 17 | x < 20) =
g. Find the 85th percentile.
h. Find the minimum for the upper quartile.
Transcribed Image Text: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 44 begins is P(x = 44) = d. The probability that a person will be born between weeks 13 and 51 is P(13 < x < 51) = e. The probability that a person will be born after week 27 is P(x > 27) = f. P(x > 17 | x < 20) = g. Find the 85th percentile. h. Find the minimum for the upper quartile.
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