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For each probability and percentile problem, draw the picture. Births are approximately uniformly distributed between the 52 weeks of the year.

For each probability and percentile problem, draw the picture. 


Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks).



Find the probability that a person is born at the exact moment week 6 starts. That is, find 

P(x = 6). (Enter your answer to four decimal places.) 


P(x = 6) =  


Part (g)


Enter an exact number as an integer, fraction, or decimal. 

P(4 < x < 33) =  


Part (h)


Find the probability that a person is born after week 41. (Enter an exact number as an integer, fraction, or decimal.) 

 

Part (i)


Enter an exact number as an integer, fraction, or decimal. 


P(13 < x | x < 24) =  


Part (j)


Find the 80th percentile. (Enter your answer to one decimal place.) 

 

____________ weeks


Part (k)


Find the minimum for the upper quarter. (Enter an exact number as an integer, fraction, or decimal.) 

 

_________ weeks

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