SOLUTION: 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). The distribu

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Question 1180520: 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). The distribution of births is depicted below with a rectangle whose area is 1. The shaded rectangle represents the probability that a randomly selected person will be born between 26.1 weeks and 39.99 weeks. Round answers to 4 decimal places (when possible).
The base of the shaded rectangle is
The height of the rectangle is
The area of the shaded rectangle is
Answer by Boreal(15235) About Me  (Show Source):
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The difference between those two values is 13.89.
The height of the rectangle is 1/52 or 0.0192, the probability of a birth in a specific week.
The base is from 26.1 to 39.99
The area of that is the product of 13.89 (1/52)=0.2671
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Rough check--from 26 to 39 weeks is 1/4 of the time or probability 0.25
from 26 to 40 weeks is 14/52 or probability 0.2692.