Deal 2 is the best deal. Deal 1 is $3.21 per apple but Deal two is $3.19 per apple.
Answer:
its yellow
Step-by-step explanation:
Member 1 ( Oliver)
Order: chicken tenders, a large green salad with a grilled cheese sandwich with lemonade and for dessert a pecan pie
Member 2 (Susan)
Order: Clam chowder with a BLT and a dot Coca Cola with chocolate pudding
Member 3 (Carl)
Order: Double Cheeseburger with a side of French fries along with the soup of the day and ice tea
Member 4 ( Lana)
Order:
Hummus plate, with a deli sandwich and baked beans and a pecan pie with some lemonade
Answer:
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
Step-by-step explanation:
Mean for a number of units, which means that the Poisson distribution is used to solve this question.
Poisson Distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
![P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20%5Cfrac%7Be%5E%7B-%5Cmu%7D%2A%5Cmu%5E%7Bx%7D%7D%7B%28x%29%21%7D)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Mean:
3 defective for 1000, how many for 50?
3 - 1000
- 50
Applying cross multiplication:
![\mu = \frac{3*50}{1000} = 0.15](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cfrac%7B3%2A50%7D%7B1000%7D%20%3D%200.15)
What is the probability that an order of 50 units will have one or more faulty units?
This is:
![P(X \geq 1) = 1 - P(X = 0)](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%201%29%20%3D%201%20-%20P%28X%20%3D%200%29)
In which
![P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20%5Cfrac%7Be%5E%7B-%5Cmu%7D%2A%5Cmu%5E%7Bx%7D%7D%7B%28x%29%21%7D)
![P(X = 0) = \frac{e^{-0.15}*(0.15)^{0}}{(0)!} = 0.8607](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%20%5Cfrac%7Be%5E%7B-0.15%7D%2A%280.15%29%5E%7B0%7D%7D%7B%280%29%21%7D%20%3D%200.8607)
![P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8607 = 0.1393](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%201%29%20%3D%201%20-%20P%28X%20%3D%200%29%20%3D%201%20-%200.8607%20%3D%200.1393)
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.