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Statistics and Use of the English Language. Hey, I want to show you some English language issues students in the past have had trouble with and I will do it with a golf example.
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Hey, I want to show you some English language issues students in the past have had trouble with and I will do it with a golf example. Many golf courses are constructed with 18 holes and on each hole there is 1 green. Holes are typically par 3, 4 or 5, meaning if you hit the ball the same number of times as the par for the whole before the ball falls in the hole then you get par for the whole. There is a statistic called “greens in regulation” or GIR. On any hole a GIR occurs when you are on the green (or in the hole) in par minus 2. Now, over the course of the summer I could look at each round of golf I play (a round is 18 holes) and figure my distribution of GIR. The distribution would be like the following:
GIR Probability of GIR 0 P(0) 1 P(1) 2 P(2) 3 P(3) 4 P(4) 5 … and so on. Each P(i) would be the number of rounds 6 I had i GIR divided by the number of 7 rounds I played in total over the summer. 8 9 10 11 12 13 14 15 16 17 18
Here is where the English language comes in. What does it mean when I ask what is the probability of getting GIR on at least 3 holes? Is 2 at least 3? No! Is 3 at least 3? Yes! Is 4 at least 3? Yes! So, at least 3 means 3 or more. The probability of getting GIR on at least 3 holes is P(3) + P(4) + P(5) + all the way through P(18). What is the probability of GIR on more than 3 holes? On more than 3 doesn’t include 3, right? Otherwise it is just like what I have above.
Okay, so my point is that when you see phrases like At least… More than … Fewer than … X or more… You have to be careful and consider which cases apply and which do not. In the past some students in my class have been careless when working with problems like this. Will you be careful?