|
The Problem |
|
The average number of gallons of lemonade consumed by the football team during a game is 20, with a standard deviation of 3 gallons. Assume that the variable is normally distributed. When a game is played, find the probability of using a) Between 20 and
25 gallons |
c). More than 21 gallons
From the text of
the problem we know that 
=
20 and that 
=
3. The TI83/84 calculator provides a program to compute the probabilities
of normal distributions. We use the function:
Since we need the
area under the normal curve where x >21 gallons, we let 
=
21 and 
=
E99. (Note: Remember to get the E in -E99, we press 2nd 
.)
From the calculator home screen, press 2nd VARS[DISTR], press 2 to select 2:normalcdf(. Enter 21,E99,20,3) and then press ENTER. See the results below.
 |
 |
|
 |
 |
|
Thus the P(x >21) = 0.3694
|
|
|
|
© 2005-2007, Macon State College. All rights reserved.
