4 students apply to a PhD program. The program accepts 45%…
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 1 student is accepted to the program if it is known that at fewer than 2 students will be accepted? (round your answer to 4 decimal places) (Hint: Binomial distribution with P=45% and n=4, and conditional probability)