# statistics question

• October 2nd 2011, 12:48 PM
jujumaan
statistics question
During the 2009-2010 basketball season, the number of points scored in each game by the Boston Celtics was approximately normally distributed with a mean of 99.2 points and a standard deviation of 10.5 points.

1)What is the 33rd percentile of points scored by the Celtics?

2)The mean number of points scored by the Los Angeles Lakers was 101.7. In what proportion of their game did the Celtics score more than the Lakers' mean score?
• October 2nd 2011, 01:07 PM
pickslides
Re: statistics question
Quote:

Originally Posted by jujumaan
1)What is the 33rd percentile of points scored by the Celtics?

Find 'a' where $\displaystyle P\left(Z> \frac{a-99.2}{10.5} \right)= 0.33$

Quote:

Originally Posted by jujumaan

1)What is the 33rd percentile of points scored by the Celtics?

2)The mean number of points scored by the Los Angeles Lakers was 101.7. In what proportion of their game did the Celtics score more than the Lakers' mean score?

$\displaystyle P\left(Z>\frac{101.7-99.2}{10.5} \right)= \cdots$