Question 1099042: The attendance at baseball games at a certain stadium is normally distributed, with a mean of 25,000 and a standard deviation of 1200. For any given game:
A) What is the probability that attendance is greater than 22,500?
B) What is the probability that attendance will be 25,000 or more?
C) What is the probability of attendance between 23,500 and 27,000?
D) What must the attendance be at the game, for that game's attendance to be in the top 10% of all games?
E) What is the probability that attendance is less than 26,000?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! z=(x-mean)/sd
a)>=(22500-25000)/1200
>=-2.083
This is a probability of 0.9814 from the calculator or table
b) This is 0.5
c) This is z between -3500/1200 or -2.917 and z of 2000/1200 or +1.66667. This is 0.9504
d) the top 10th percentile is the 90th percentile, and z=+1.28
1.28<=(x-25000)/1200
1536<=x-25000, multiplying through by 1200
x>=26536 or greater.
e) z is less than 1000/1200 or +0.833
This has a probability of 0.7977
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