Suppose 20% of the people in a city prefer Pepsi Cola as their soft drink of choice. If a random sample of six people is chosen the number of Pepsi drinkers could range from Zero to six. Shown here are the possible numbers of pepsi drinkers in a sample of six people and the probability of that number Pepsi drinkers occurring in the sample. Use the data to determine the mean number of Pepsi drinkers in a sample of six people in the city and compute the standard deviation.
|
Number of Pepsi Drinkers
|
Probability
|
|
0
|
|
|
0.262
|
|
1
|
|
|
0.393
|
|
2
|
|
|
0.246
|
|
3
|
|
|
0.082
|
|
4
|
|
|
0.015
|
|
5
|
|
|
0.002
|
|
6
|
|
|
0
|