Question: 3 students apply to a PhD program.The program rejects 25% of all applicants.Students are accepted and rejected independently of each other.Let the random variable X

3 students apply to a PhD program.The program rejects 25% of all applicants.Students are accepted and rejected independently of each other.Let the random variable X represent the number of the 3 students who get rejected into the PhD Program.

What is the probability that 2 students are rejected to the program if it is known that more than 1 will be rejected? (round your answer to 4 decimal places)(Hint: Binomial distribution with P=25% and n=3, and conditional probability)

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.

What is the probability that 2 students are accepted to the program if it is known that more than 1 will be accepted? (round your answer to 4 decimal places) (Hint: Binomial distribution with P=70% and n=4, and conditional probability)

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