Suppose we roll a fair four-sided die 11 times.  Let X be the count of 3s rolled.  Then X has a binomial distribution with n = 11 and p = 0.25.   Match the following probabilities (2 are very logical, 2 require the binomial formula of use the the binomial excel spreadsheet).     solve for  P(X=0)                                                                                                                     P(X=3)                                                                                                                     P(X<18)                                                                                                                     P(X=-6)

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Q: Assume x follow to binominal with p=4/5 and p=1/5 and n=5 , Find maximum likelihood estimator.

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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.