Part (d) Find the probability that his shirt number is from 34 to 66 OR he weighs at most 210 pounds. (Enter your answer as a fraction.)   Part (e) Find the probability that his shirt number is from 34 to 66 GIVEN that he weighs at most 210 pounds. (Enter your answer as a fraction.)   Part (f) If having a shirt number from 34 to 66 and weighing at most 210 pounds were independent events, then what should be true about P(Shirt # 34-66 | ≤ 210 pounds)?   It must have the same probability as weighing at most 210 pounds. It will be the same P(Shirt #34-66 AND ≤ 210 pounds).  The probability would equal zero. It must have the same probability as having a shirt number from 34 to 66.

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Author:Amos Gilat
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In a previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboys were published in the San Jose Mercury News. The factual data are compiled into the following table.

Shirt # ≤ 210 211-250 251-290 291 ≥
1-33 21 5 0 0
34-66 6 18 7 4
67-99 6 12 22 5

For the following, suppose that you randomly select one player from the 49ers or Cowboys.

 

Part (d)

Find the probability that his shirt number is from 34 to 66 OR he weighs at most 210 pounds. (Enter your answer as a fraction.)
 

Part (e)

Find the probability that his shirt number is from 34 to 66 GIVEN that he weighs at most 210 pounds. (Enter your answer as a fraction.)
 

Part (f)

If having a shirt number from 34 to 66 and weighing at most 210 pounds were independent events, then what should be true about P(Shirt # 34-66 | ≤ 210 pounds)?
 
  • It must have the same probability as weighing at most 210 pounds.
  • It will be the same P(Shirt #34-66 AND ≤ 210 pounds). 
  • The probability would equal zero.
  • It must have the same probability as having a shirt number from 34 to 66.
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