Casio fx9750GII Getting Started page 67

Normal Distribution Analysis [in RUN-MAT]
Although this could have been covered in the Statistics Chapter this topic needs to be treated separately.
KEY
RESULT
This is the Normal Distribution (N.D.) 'menu'. P( calculates the N.D. shading from the left, Q( calculates the N.D.
shading from the centre and R( calculates the N.D. shading from the right.
Graph Y = has the sequence:
Example
Find the probabilities related to a z-score of -1.
Graph Y=P(-1)
F4 F5
SHIFT
F6 F3
OPTN
Graph Y=Q(1)
F4 F5
SHIFT
F6 F3
OPTN
Graph Y=R(-1)
F4 F5
SHIFT
F6 F3
OPTN
Excluding the 'Graph' will give the Normal Distribution probability value being displayed only.
Using the z-score transformation within the calculation on the calculator is also a good technique for the student to
use.
Example 2
Scientists studying a species of fish find that adults have a mean weight of 2.4 kg
and a standard deviation of 0.3 kg.
Find the probability a randomly selected fish weighs between 2.2 kg and 2.9 kg.
F6 F3
OPTN
4 ) ÷
6 - 2
EXE
then
Note:
2.2 is on the left of the mean and has an equivalent probability value for 2.6, that is,
Prob(2.2 < µ < 2.4) = prob(2.4 < µ < 2.6) giving Prob(2.2 < x < 2.9) = 0.6999 (4dp)
[SHIFT]
F1
F6 F1 - 1
F1
F6 F2 1 ) EXE
F1
F6 F3 - 1
F6 F2 ( 2
0 . 3 )
÷
. 4 )
[F4] [F5]
) EXE
) EXE
. 9 - 2 .
+ F2 ( 2 .
0 . 3 )
fx9750GII
[F1]
Result
Result
As Graphs
CHAPTER 8 | PG 67