Question: 4 students apply to a PhD program. The program accepts 70% of all applicants . Students are accepted and rejected independently of each other. Let

4 students apply to a PhD program. The program accepts 70% of all applicants . Students are accepted and rejected independently of each other. Let the random variable X represent the number of the 4 students who get accepted into the PhD Program. ( Hint: Binomial distribution with n = 4 , P=70\%) What is the probability that more than 2 students are accepted to the program ? (round your answer to 4 decimal places )

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