4 students apply to a PhD program. The program accepts 45% 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=45% and n=4, and conditional probability)
4 students apply to a PhD program. The program accepts 45% 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=45% and n=4, and conditional probability)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 1E
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4 students apply to a PhD program. The program accepts 45% 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
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