Question 507804: CAN I HAVE ANSWER FOR THIS QUESTION PLEASE????
IF PIZZA SHOP HAD AN OFFER ON PIZZA WITH "THREE TOPPINGS" AND THE COSTUMERS HAVE RANGE OF 12 TOPPINGS
1> WHAT IS THE PROBABILITY FROM 1000 PIZAA ,EXACTLY TWO ORDERS ARE EXPECTED THE SAME
2> WHAT IS THE PROBABILITY FROM 1000 PIZZA ORDERS ,AT LEAST TWO ORDERS EXPACTED THE SAME
3> IS THIS PROBABILITIES IS TRULY REFLECTED REAILITY AND WHY?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! IF PIZZA SHOP HAS AN ORDER FOR PIZZA WITH "THREE TOPPINGS" AND THE COSTUMERS HAVE A CHOICE OF 12 TOPPINGS,
1> WHAT IS THE PROBABILITY FROM 1000 PIZAA ,EXACTLY TWO ORDERS ARE EXPECTED THE SAME
---
# of combinations of 3 toppings: 12C3 = 220
P(2 orders have the same 3 toppings) = 1/220
Now you have a binomial problem with n = 1000 and p = 1/220
P(x = 2) = 100C2(1/220)^2(219/220)^98 = 7.0911x10^-18
-----------------------------------------------------------------
2> WHAT IS THE PROBABILITY FROM 1000 PIZZA ORDERS,
AT LEAST TWO ORDERS ARE THE SAME.
P(2<= x <=1000) = 1-P(0<= x <=1) = 1-0.0585 = 0.9415
---------------------------------------------------------------
3> Do THESE PROBABILITIES TRULY REFLECTED REAILITY AND WHY?
Ans: YES
=============
Cheers,
Stan H.
|
|
|
