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At a track meet, 50 people ran the 100-meter dash. 2 people finished in 11 seconds, 5 people finished in 12 seconds, 8 people finished in 13 seconds, 10 people finished in 14 seconds, 21 people finished in 15 seconds, 2 people finished in 16 seconds, and 2 people finished in 17 seconds. What is the probability distribution for the finish times?

 Jun 25, 2014

Best Answer 

 #1
avatar+576 
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The probablility distribution table would look like a table.  I'll do my best to make one below though please note that the lines are missing.  it should be noted that these probabilities have been simplified.  For example the probability for t=11 was 2/50 which reduces to 1/25

 

t                    11           12             13           14           15            16           17

P(X=t)           1/25      1/10          4/25         1/5         21/50        1/25         1/25    

 Jun 25, 2014
 #1
avatar+576 
+5
Best Answer

The probablility distribution table would look like a table.  I'll do my best to make one below though please note that the lines are missing.  it should be noted that these probabilities have been simplified.  For example the probability for t=11 was 2/50 which reduces to 1/25

 

t                    11           12             13           14           15            16           17

P(X=t)           1/25      1/10          4/25         1/5         21/50        1/25         1/25    

jboy314 Jun 25, 2014

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