Question 363019
 The question was According to USA today, only 3.2% of all product coupons are redeemed. If a company distributes 15,000 coupons, what is the probability that: 
a) more than 500 will be redeemed
z(500/15000) = z(0.0333) = (0.0333-0.032)/sqrt(0.032*0.968/15000) = 0.9046
P(p-hat > 0.3333) = P(z> 0.9046) = 0.1828
------------------- 
b) fewer than 450 will be redeemed
z(450/15000) = (0.03-0.032)/0.001437 = -1.3918
---
P(p-hat < 450) = P(z < -1.3918) = 0.0820
=============================================
Cheers,
Stan H.