The mean of this distribution is   . The standard deviation is   . The probability that a person will be born at the exact moment that week 35 begins is     P(x=35)=P(x=35)=   .

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 61CR
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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.

  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 35 begins is
        P(x=35)=P(x=35)=   .
  4. The probability that a person will be born between weeks 19 and 32 is
        P(19<x<32)P(19<x<32) =  .
  5. The probability that a person will be born after week 42 is
        P(x>42)=P(x>42)=   .
  6. P(x>18∣x<32)=P(x>18∣x<32)=   .
  7. Find the 49th percentile. 
  8. Find the maximum for the lower quarter. 
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