STA 2023 Project 2
The purpose of this project is to show you how to use Minitab to compute binomial probabilities.
In the process of completing the project, you will learn about the shape (skewed left, symmetric,
skewed left) of binomial histograms for various values of
p
=
P
(
S
). You will also see where the
binomial tables in the back of McClave’s text came from and how to produce and use additional
tables to supplement (for diﬀerent
n
’s and
p
’s that those covered in Tables II(a) through II(i)) those
in the back of the text.
1.
Start up Minitab. Click in the Session window.
2.
In the
Calc
menu, select
Make Patterened Data
>
Simple Set of numbers
. A window titled
Simple
Set of Numbers
will come up. Fill in the following information. The values to be entered are in
large, bold characters.
(a) Store patterned data in:
x
(b) From ﬁrst value :
0
(this is a “zero”)
(c) To last value :
15
(d) In steps of :
1
(e) List each value
1
times.
(f) List the whole sequence
1
times.
(g) Click OK
3.
The ﬁrst column in the Worksheet window will be labelled
x
and the entries in the column are
0
,
1
,
2
,...,
15 in rows 1
,
2
,...,
16, respectively.
4.
In the
Calc
menu, select
Probability Distributions
>
Binomial
. A window titled
Binomial Distribu-
tion
will come up. Enter the following information.
(a) Click the radio button in front of Probability
(b) Number of trials :
15
(c) Probability of success :
.1
(d) Click the radio button in front of
Input column
. Put the cursor in the box to the right of
Input column
and click. In the large white box in the top left hand corner of the Binomial
Distribution window, you will see the variable
C
1
x
. Double click on C1 in the large box.
(e) The
Input column box
will now contain
x
and the cursor will be in the box opposite
Optional
storage
. Type ’p(x) when p=.1’ in this box (be sure to include the single quotes (’) at the
beginning and end.
(f) Click OK
(g) C2, labelled p(x) w p=.1, now contains the binomial probabilities (with
n
= 15 and
p
=
.
1)
associated with the values 0
,
1
,
2
,...,
15 (these values appear in C1. For example, for
n
= 15
and
p
=
.
1,
p
(0) =
.
205891.
QUESTION 1: What is