Fall 2001

Dr. McCullough

MINITAB Assignment Sheet # 1

Due : Friday, October 26, 2001

Instructions : Bring your homework finished to class on the Due Date specified on separate sheet (s) of paper. Clearly label each problem and each part of a problem on your paper. Your homework should be stapled together with your name on each sheet and should not contain fringe from a spiral notebook.

1. ) Simulate flipping a fair coin by performing the following operations.

a. ) Randomly generate a column of data (c1) with 50 entries { Calc\Random Data\Integer }. Minimum number is 0 and maximum number is 1.

b. ) Randomly generate a column of data (c2) with 500 entries { Calc\Random Data\Integer }. Minimum number is 0 and maximum number is 1.

c. ) Randomly generate a column of data (c3) with 2500 entries { Calc\Random Data\Integer }. Minimum number is 0 and maximum number is 1.

d. ) Find the empirical probabilities for c1,c2, and c3 { Stat\Tables\Tally }. Be sure to check both counts (Frequency) and percents (relative frequency ).

e. ) In which sample did the empirical probabilities, most closely match the theoretical probability of 0.5 ? Why ?

2. ) If you roll a pair of dice, the probability distribution for the sum of the face value of the dice is given in the following table.

X 2 3 4 5 6 7 8 9 10 11 12

P(X) 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36

Note :

a. ) Use MINITAB to simulate rolling a pair of dice 2500 times.

i. ) Randomly generate two columns {C1 and C2} from the appropriate discrete distribution { Calc\Random Data\ Integer }. Minimum 1 and Maximum 6. C1 represents roll on first die and C2 represents roll on second die.

ii. ) Add C1 and C2 and place the results in C3 {Calc\Row Statistics} C3 represents the sum of the dice.

b. ) Find the empirical mean and empirical standard deviation for the sum of the pair of dice {C3}. { Stat\Basic Statistics\Descriptive Statistics }

c. ) Compare the empirical results in part (b) to the theoretical values of .

d. ) Make a table that finds the frequency and relative frequency of the sum of a pair of dice {C3}. { Stat\Tables\Tally } Be sure to check both counts and percents.

e. ) Compare these relative frequencies to the theoretical probabilities {P(X)} listed in the table above.

3. ) Let X~BIN(25, 0.35). Use MINITAB to find each of the following.

{ Calc\Probability Distributions\Binomial }

a. ) b. ) c. ) d. )