At 12:00 noon a stand begins selling hamburgers and hot dogs.    Each customer will order either a hamburger or hot dog,   Assume 78% of customers choose  hot dog and 22% choose hamburger.      Also assume all orders are independent.     The rule is that immediately after hot dog number 13 is ordered and sold,   the stand will close and stop taking any future orders.     What is the probability that,  upon closing,  the stand has sold exactly 3 hamburgers?    (Note this implies that exactly  16 total orders are sold.)   Give answer as a decimal between 0 and 1,   accurate to at least 4 decimal places.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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At 12:00 noon a stand begins selling hamburgers and hot dogs.    Each customer will order either a hamburger or hot dog,   Assume 78% of customers choose  hot dog and 22% choose hamburger.      Also assume all orders are independent.  

 

The rule is that immediately after hot dog number 13 is ordered and sold,   the stand will close and stop taking any future orders.  

 

What is the probability that,  upon closing,  the stand has sold exactly 3 hamburgers?    (Note this implies that exactly  16 total orders are sold.)

 

Give answer as a decimal between 0 and 1,   accurate to at least 4 decimal places.

 

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