Let x be a random variable that represents the length of time it takes to complete certification for an Information Technology (IT) program. It was found that x has an approximately normal distribution, with a mean of 250 days and a standard deviation of 11.2 days. a)  What is the probability that it takes between 220 and 275 days for a randomly selected person to complete the IT certification? b)  Suppose 18 people in the program are selected at random. What is the probability that their average time, ?̅, to complete certification is not more than 252 days? write a complete probability statement, draw a corresponding picture, and answer the question.

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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.