Thread: Bernoulli/Binomial Distributions

There is this one part of a problem I'm having trouble setting up...

On a six-question multiple-choice test there are five possible answers for each question, of which one is correct (C) and four are incorrect (I). If a student guesses randomly and independently, find the probability of

For this, I let if answer is correct, and if the answer is incorrect.

(a) Being correct only on questions 1 and 4 (i.e. C, I, I, C, I, I)

I'm not quite sure on how to set this part up, any hints would be appreciated.

(b) Being correct on two questions

I think this would be ...but I'm not quite sure.

I'd appreciate any input!

--Chris

Originally Posted by Chris L T521

There is this one part of a problem I'm having trouble setting up...

On a six-question multiple-choice test there are five possible answers for each question, of which one is correct (C) and four are incorrect (I). If a student guesses randomly and independently, find the probability of

(a) Being correct only on questions 1 and 4 (i.e. C, I, I, C, I, I)

For this, I let if answer is correct, and if the answer is incorrect.

I'm not quite sure on how to set this part up, any hints would be appreciated.

(b) Being correct on two questions
I think this would be ...but I'm not quite sure.

I'd appreciate any input!

--Chris

(b) is correct.

For (a), it's simply .