In: Statistics and Probability
USING MINITAB CREATE the following charts
Please provide detailed MINITAB Walk Through
The shape of the graph of a binomial distribution depends on the value of both n and p. To see how the shape changes for a fixed value of n, you will let p vary and graph each probability distribution. Let X be a binomial random variable with n = 10.
a. For p = 0.11 obtain a bar chart of the binomial probability distribution.
b. For p = 0.50 obtain a bar chart of the binomial probability distribution.
c. For p = 0.89 obtain a bar chart of the binomial probability distribution.
d. Describe the effect of changing p.
Now see what happens when you hold p constant and vary n. Let X be a binomial random variable with p = 0.25.
a. Obtain a bar chart of the binomial probability distribution for n = 5.
b. Obtain a bar chart of the binomial probability distribution for n = 50.
c. Describe the effect of changing n.
Now you want to see graphically the effect of changing the standard deviation of a Normal distribution. Let mu = 100 for both distributions, but let sigma(σ) = 10 for one and sigma(σ) = 16 for the other distribution. Recall that for each distribution the first value should be 3sigma(σ) below the mean of 100, and the last value should be 3sigma(σ) above the mean of 100. When MINITAB creates the X values for you, for both distributions this time set the data IN STEPS OF 2. Overlay the two density functions on the same graph (in MINITAB), and paste in the box below.