Question

x

Answer 1

@AlexandervonHumboldt2

Answer 2

So let's look at the definition of Binomial setting

Answer 3

A binomial setting is one which satisfies the following conditions:

1) each observation falls into one of two categories called a success or failure
2) there is a fixed number of observations
3) the observations are all independent
4) the probability of success (p) for each observation is the same - equally likely

Answer 4

So let's go through and look at each one.

1) each observation falls into one of two categories called a success or failure

Is this true or false?

Answer 5

false

Answer 6

Hmm, why do you think that?

Answer 7

oh i guess it is true because there is a 70% chance of making the basket and 30% not making it

Answer 8

so each time he tries to do a free throw there is a chance he succeeds and a chance he fails

Answer 9

Yes exactly!

Answer 10

Okay, so 1) is true, let's go on to two

2) there is a fixed number of observations

Answer 11

this is true, there are 10

Answer 12

Yes exactly.

Answer 13

3) the observations are all independent

Answer 14

i think this is true, but I am unsure why

Answer 15

You're right. Every single shot has a 70% chance of success. If he made the last shot, it doesn't improve his chances at this shot, because each shot is completely independent

Answer 16

Kinda like if I flip a coin and it lands on heads.

The chance it lands on heads again next flip is still 50%, because previous results have no influence on this chance of success or failure

Answer 17

Does that make sense, or should I break it down further?

Answer 18

Alright and
4) the probability of success (p) for each observation is the same - equally likely

Answer 19

true? there is a 70% probability

Answer 20

Yep, you got it.

So since all 4 requirements are satisfied, it is a binomial setting.

Answer 21

90% of that was you c:

Any more problems you think you may need help with?

Answer 22

Alright then, have fun with it