1. Find the probability of getting exactly 5 heads on 10 flips of a fair coin.
a. Make the following menu selections:
CALC > PROBABILITY DISTRIBUTIONS > BINOMIAL
b. Fill in the Dialog Box as follows:
Number of trials [ 10 ]
Probability of success [ .5 ]
input constant [ 5 ]
2. Find the probability distribution for X = the number of heads obtained in 10 flips of an unbalanced coin with
probability 0.4 of getting a head on each of the independent trials.
a. Enter 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 in C1
b. Make the following menu selections:
CALC > PROBABILITY DISTRIBUTIONS > BINOMIAL
c. Fill in the Dialog Box as follows:
Number of trials [ 10 ]
Probability of success [ .4 ]
Input Column [ c1 ]
Optional Storage [ c2 ]
d. Display c1 and c2 on the screen and check at least one of the probabilities by hand to make sure you understand
what Minitab is doing.
3. Use Minitab to find the mean and variance of the random variable defined in problem 2.
a. Create a new column, say C3, that is the product of C1 and C2.
b. Sum the values in c3 and store them in a constant, say K1.
c. Create a new column, say C4, which contains (C1-K1)**2*C2.
d. Sum the values in C4.
e. Explain the purpose of each of the steps above.
Section 5.1 - 5.2, 5.4, 5.11, 5.12, 5.14, 5.15, 5.17