For a random variable to follow a binomial distribution, there are three criteria that need to be met. Are you familiar with them?can anyone tell me wether these statements are Bionimial Distribution and why?
1) A school car park has 5 spaces. the number of spaces filled at the same time each day
Mr F says: Does the value of p stay the same for each day ......? Monday versus Sunday?
2) A group of students is selected and they are asked to each take 8 shots at netball. For each student record the number of successful shots.
Mr F says: The question asker probably intends the answer to be yes. That's the answer I'd give. But .....
does a student become a better shooter with a little bit of practice? Will the value of p stay the same ......? I know my shooting would probably improve from shot 1 to shot 8. And is the shot taken from the same spot each time under identical conditions?
3) A fair coin is spun untill a head occurs. How many spins are required untill the head occurs?
Mr F says: No. There are not two possible outcomes - success or failure in each trial. Research Geometric Distribution.
4) A jar contains 49 balls numbered 1 to 49. six of the balls are selected at random. find the probability that four of the six have an even score.
Mr F says: No. See below.