Question

For which of the following sample sizes (n) and population parameter (p) can a normal curve be used to approximate the binomial probability histogram?

A. n=30; p=0.6
B. n=15; p=0.6
C. n=15; p=0.3
D. n=30; p=0.3

Answer 1

I think the answer is A. n=30; p=0.6 because 0.6*30=18 which is greater than 10. Is this how you solve this problem?

Answer 2

you need to check 2 things

n*p > 10
n*(1-p) > 10

Answer 3

http://www.regentsprep.org/regents/math/algtrig/ats7/blesson3.htm

see attached

the page uses 5 instead of 10, but either work. 5 is often used, but 10 is used if you want better accuracy

Answer 4

I get -150 for the second equation n*(1-p) > 10

Answer 5

-150? that's incorrect

Answer 6

@jim_thompson5910 I put 6 instead of 0.6 in my calculator I got 12 which is great then 10 so I think A. n=30; p=0.6 is the answer.

Answer 7

much better

Answer 8

So when I do these kind of problems I need to check both

n*p > 10
n*(1-p) > 10

Answer 9

np = 18
n(1-p) = 12

Answer 10

yes and there should be lines under the > signs

Answer 11

ok thank you :)