Casio fx9750GII - Normal Distribution Analysis (Continued); Normal Distribution Examples and Binomial Analysis; Binomial Distribution Analysis (STAT Mode)

Normal Distribution Analysis [in STAT] cont.
Example 3
Find the values of k such that Prob(k < Z ) = 0.45 Result
F5 F1 F3 F2 0 . 4
5 EXE
then
EXE
Example 4
A machine produces ball bearings with the weights of each
normally distributed with a mean of 2700 mg and a standard
deviation of 12 mg. If 10% of the ball bearings are rejected as
being overweight for the mechanism they are to t into, nd
the maximum acceptable weight to the nearest mg.
Require the Prob(X > k) = 10% = 0.1, Area = 0.1,
�
= 12 and
 = 2700.
Result
F5 F1 F3 F2 0 . 1
EXE 1 2 EXE 2 7 0 0 EXE
then
EXE
The maximum acceptable weight is
2715 mg (4 sig. g.).
Example
Calculate the probability that from 10 trials there are two
successful outcomes and the probability of a success is 0.5.
Result
F5 F5 F1 F1 2 EXE 1 0
EXE 0 . 5 EXE
then
EXE
Probability = 0.0439 (4 d.p.)
Binomial Distribution calculations [in STAT]
The Binomial Distribution(B.D.) has 2 parameters, the number of trials (n) and the probability of success (p).
Change the data as being VARiable (you enter in the data) from LIST - press [F2].
KEY
RESULT
Individual B.D.
Cumulative B.D.
Inverse B.D.
fx9750GII
CHAPTER 8 | PG 69