Pollsters often use randomly selected digits between 0 and 9 to generate parts of telephone numbers to be called. What is the distribution of such randomly selected digits? If a pollster repeats the process of randomly generating 50 digits and finding the mean, what is the distribution of the resulting sample means?

Question

Jovani Zhang

Mathematics

11 October, 03:02

Pollsters often use randomly selected digits between 0 and 9 to generate parts of telephone numbers to be called. What is the distribution of such randomly selected digits? If a pollster repeats the process of randomly generating 50 digits and finding the mean, what is the distribution of the resulting sample means?

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1. The distribution of the random digits is uniform

2. The distribution of the resulting sample are approximately normal

Step-by-step explanation:

1. Based on the information given Pollsters use randomly selected digits between 0 and 9 often in order to generate parts of telephone numbers to be called which means that the distribution of the randomly digits which was selected will be uniform reason been that there is an equal probability of selecting any of the numbers between 0 and 9.

2. The distribution of the resulting sample mean would be approximately normal reason been that the sample size is greater than 30.