1. ## probability

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

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.

3) A fair coin is spun untill a head occurs. How many spins are required untill the head occurs?

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

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.
For a random variable to follow a binomial distribution, there are three criteria that need to be met. Are you familiar with them?

3. ## Re: probability

Thanks very much for your help!

could you also help me with this? is this Binomial Distribution?

A card is selected at random from a standard pack of 52 playing cards. The suit is recorded and the card is replaced. This process is repeated to give a total of 16 selections, and on each occasion the card is replaced in th pack before another selection is made. Calculate the probability that exactly 5 hearts occur in the 16 selections.

Thanks very much for your help!

could you also help me with this? is this Binomial Distribution?

A card is selected at random from a standard pack of 52 playing cards. The suit is recorded and the card is replaced. This process is repeated to give a total of 16 selections, and on each occasion the card is replaced in th pack before another selection is made. Calculate the probability that exactly 5 hearts occur in the 16 selections.
Note: New and unrelated questions require new threads.

Let X be the random variable number of hearts.

Then X ~ Binomial(n = 16, p = 1/4).

Find Pr(X = 5).

Note: $\Pr(X = r) = {n \choose r} p^r (1 - p)^{n-r}$.

In your case, r = 5 .....

Many thanks!