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:
y = 4
since you cant have y = 0x + 4, you drop the x and have a straight line (slope of 0) that runs all along the y point of 4.
Answer:
Step-by-step explanation:
6
The value of angle x is 113 degrees and y is 67 degrees.
What is angle?
In euclidean geometry, an angle is that the figure shaped by 2 rays, referred to as the perimeters of the angle, sharing a typical end point, referred to as the vertex of the angle. Angles shaped by 2 rays exist the plane that contains the rays.
Main body:
Given ;
∠C = 62°
∠A =51°
according to triangle sum property: Sum of angles of triangle is 180°
Using it,
62° +51° +∠y = 180°
113°+ ∠y =180°
∠y = 67°
∠x is equal to the sum of interior opposite angle ,so using it we get:
∠x = 61°+52°
∠x = 113°
Hence the value of ∠x is 113 degrees and y is 67 degrees.
To know more about angle , visit:
brainly.com/question/25770607
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