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