3% of a country’s voters are dissatisfied with the direction of the government. Suppose a SRS of 50 voters was selected and asked if they were dissatisfied with the government. Let the variable X denote the number of dissatisfied voters selected out of 50. Please answer the following questions. a) How is the variable X distributed? b) Find the probability that at most 29 dissatisfied voters are selected in this sample . c) Find the probability that at least 30 dissatisfied voters are selected in this sample d)Find the probability that exactly 30 are selected in this sample e) Find the probability that between 20 and 25 dissatisfied voters inclusive are selected in this sample. f) Find the mean number of dissatisfied voters of samples of size 50 taken from this population g) Find the variance and standard deviation of the variable X.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.