Answer:
- The probability that overbooking occurs means that all 8 non-regular customers arrived for the flight. Each of them has a 56% probability of arriving and they arrive independently so we get that
P(8 arrive) = (0.56)^8 = 0.00967
- Let's do part c before part b. For this, we want an exact booking, which means that exactly 7 of the 8 non-regular customers arrive for the flight. Suppose we align these 8 people in a row. Take the scenario that the 1st person didn't arrive and the remaining 7 did. That odds of that happening would be (1-.56)*(.56)^7.
Now take the scenario that the second person didn't arrive and the remaining 7 did. The odds would be
(0.56)(1-0.56)(0.56)^6 = (1-.56)*(.56)^7. You can run through every scenario that way and see that each time the odds are the same. There are a total of 8 different scenarios since we can choose 1 person (the non-arriver) from 8 people in eight different ways (combination).
So the overall probability of an exact booking would be [(1-.56)*(.56)^7] * 8 = 0.06079
- The probability that the flight has one or more empty seats is the same as the probability that the flight is NOT exactly booked NOR is it overbooked. Formally,
P(at least 1 empty seat) = 1 - P(-1 or 0 empty seats)
= 1 - P(overbooked) - P(exactly booked)
= 1 - 0.00967 - 0.06079
= 0.9295.
Note that, the chance of being both overbooked and exactly booked is zero, so we don't have to worry about that.
Hope that helps!
Have a great day :P
Answer:
I don’t really know if I’m correct but I think it’s “the fraction of switch hitting softball players is greater than 1/20”
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. multiply both sides by 2
<em>3b-4=2c</em>
2. add 4 to both sides
3b=2c+4
3. divide both sides by 3
b= 
When the exponent is negative, you have to make the number a fraction(1 over the number).
For example:
This gets rid of the negative, but it leaves the exponent
When an exponent is a fraction, it is the square root.
For example:
![x^{\frac{1}{3}} = \sqrt[3]{x}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D)
![x^{\frac{1}{4}}=\sqrt[4]{x}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7Bx%7D)
So...
3 x 15 = 45
3 x 14 = 42
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There are 14 packages.
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x = 42/3
-----> 3x=42
