Math Is Fun Forum

jasminM01

Guest

probability... I Need Help!!

Linda took a multiple choice test she did pretty well, but there were 4 questions where she had to guess. Each question had 5 choices for answers. Make up a probability distribution for the number of correct guesses. What is the probability that she got at least one right? what is the probability that she didn't get them all right? what is the mean and standard deviation for the number of correct guesses?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability... I Need Help!!

I do not have to make a distribution there is already one. It is called the Binomial distribution.

P(1 or more right ) = 369 / 625

P(none right ) = 1 - (369 / 625)

P(all right ) = 1 / 625

P(she did not get them all right) = 1 - ( 1 / 625 )

The mean of the binomial distribution is np and the sd is √ (npq)

Can you fill in the rest?

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

jasminM01

Guest

Re: probability... I Need Help!!

your a life saver!!!!!!!
THANK YOU

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability... I Need Help!!

Hi;

Welcome to the forum. Lifeguards save lives, firemen and paramedics do too. There is a bit more to that question, did you get it?

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

jasminM01

Guest

Re: probability... I Need Help!!

yea i think i can probably figure it out after what you have answered. its my take home midterm and my teacher wasn't very helpful in explaining it.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability... I Need Help!!

yea i think i can probably figure

I like the use of the word probably in a probability question. Very good!

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

jasminM01

Guest

Re: probability... I Need Help!!

Haha i didn't notice that until you pointed it out!

jasminM01

Guest

Re: probability... I Need Help!!

Haha i didn't notice that until you pointed it out!

can you actually help me with the rest of it cause i can't figure it out!

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability... I Need Help!!

Hi;

The mean of the binomial distribution is np and the sd is √ (npq)

n is the number of trials

p is the probability of success.

q = 1 - p

Are you okay with this?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

jasminM01

Guest

Re: probability... I Need Help!!

Haha i didn't notice that until you pointed it out!

can you actually help me with the rest of it cause i can't figure it out!

so would n=20 because thats how many choices you have
and p= 4
q=1-4=3

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: probability... I Need Help!!

Hi;

p = 1 / 5 because that is the probability of her getting a question right.

q = 1 - 1 / 5 = 4 / 5

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

zetafunc.

Guest

Re: probability... I Need Help!!

Haha i didn't notice that until you pointed it out!

can you actually help me with the rest of it cause i can't figure it out!

so would n=20 because thats how many choices you have
and p= 4
q=1-4=3

You have 4 questions, each of which she has a 0.2 probability of answering correctly...