Easy sampling distribution question

An accounting professor claims that no more than one quarter of the undergraduate business students will major in accounting. What is the probability that in a random sample of 1,200 undergraduate students, 336 or more will major in accounting?

Not sure how I'd answer this. Answer in the book is 0.009. Any and all help appreciated!

Re: Easy sampling distribution question

We need assumptions for Mean and Variance. Since we have NO other information, let's go with AP's maximum claim of 0.25.

This gives:

Mean = 1200*0.25 = 300

Standard Deviation = $\displaystyle \sqrt{300*0.75} = 15$

Now what? Shall we use a Normal Approximation?

Re: Easy sampling distribution question

Quote:

Originally Posted by

**TKHunny** We need assumptions for Mean and Variance. Since we have NO other information, let's go with AP's maximum claim of 0.25.

This gives:

Mean = 1200*0.25 = 300

Standard Deviation = $\displaystyle \sqrt{300*0.75} = 15$

Now what? Shall we use a Normal Approximation?

Thanks, I think I get it now:)