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
Hello!
Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5years
Data:
P = 35000
r = 4% = 0,04
n = 4
t = 5
P' = ?
I = ?
We have the following compound interest formula
![P' = 35000*(1+\frac{0,04}{4})^{4*5}](https://tex.z-dn.net/?f=P%27%20%3D%2035000%2A%281%2B%5Cfrac%7B0%2C04%7D%7B4%7D%29%5E%7B4%2A5%7D)
![P' = 35000*(1+0,01)^{20}](https://tex.z-dn.net/?f=P%27%20%3D%2035000%2A%281%2B0%2C01%29%5E%7B20%7D)
![P' = 35000*(1,01)^{20}](https://tex.z-dn.net/?f=P%27%20%3D%2035000%2A%281%2C01%29%5E%7B20%7D)
![P' = 35000*(1.22019003995...)](https://tex.z-dn.net/?f=P%27%20%3D%2035000%2A%281.22019003995...%29)
![P' \approx 42,706.66](https://tex.z-dn.net/?f=P%27%20%5Capprox%2042%2C706.66)
So the new principal P' after 5 years is approximately $42,706.66.
Subtracting the original principal from this amount gives the amount of interest received:
![P' - P = I](https://tex.z-dn.net/?f=P%27%20-%20P%20%3D%20I)
![42,706.66 - 35000 = \boxed{\boxed{7,706.66}}\end{array}}\qquad\checkmark](https://tex.z-dn.net/?f=42%2C706.66%20-%2035000%20%3D%20%5Cboxed%7B%5Cboxed%7B7%2C706.66%7D%7D%5Cend%7Barray%7D%7D%5Cqquad%5Ccheckmark)
________________________
I Hope this helps, greetings ... Dexteright02! =)
Answer:
256 students
Step-by-step explanation:
Multiply 0.32 by 800 to get your answer.
Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
<h3>
What is a matrix?</h3>
- A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.
- For instance, consider a matrix with two rows and three columns.
To find the order of matrix:
- We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.
- Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.
- Dimension is assigned to the provided matrix: 6 × 5
- This means the given matrix contains six rows and five columns.
- As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.
- The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.
To prove:
- In other words, the inner products of the dimensions should be equal.
- That is; (a × b)(b × a) is possible but (a ×b)(c × b) is impossible.
- The dimensions of the matrix are given by, row × column.
Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
Know more about matrix here:
brainly.com/question/24079385
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