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)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started