SOLUTION: 1)A popular doughnut shop makes 5000 doughnuts per day, of which 30% (1500 doughnuts) have chocolate icing. Andy likes doughnuts with chocolate icing but his brother Jimmy tells th

Algebra ->  Probability-and-statistics -> SOLUTION: 1)A popular doughnut shop makes 5000 doughnuts per day, of which 30% (1500 doughnuts) have chocolate icing. Andy likes doughnuts with chocolate icing but his brother Jimmy tells th      Log On


   

Question 852682: 1)A popular doughnut shop makes 5000 doughnuts per day, of which 30% (1500 doughnuts) have chocolate icing. Andy likes doughnuts with chocolate icing but his brother Jimmy tells the shop assistant to choose doughnuts randomly whenever he buys them. Every Sunday, Jimmy buys 15 doughnuts and brings them home. On average, how many of these doughnuts will have chocolate icing?
2)In the situation from Question 1, determine the probability that on a given Sunday, there will be at least 6 doughnuts with chocolate icing that Jimmy has brought home.
I solved this using formula and Binomial table and I got two different answers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

p = .30, n = 15

1) 15*.30 = 5 doughnuts, On an average, will have chocolate icing

2) Using TI (highly recommended for cumulative probabilities)

 p(x  ≥  6) = 1 - binomcdf(15, .30, 5) 

 p(x  ≥  6) = .2784 (stattrek.com)(also, highly recommended for cumulative probabilities)