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
<span>MCAS Open-Response Questions & Answers. Mathematics – Middle School Level. Wachusett Regional School District. 1. Rev. April 2003 srm. Question #1 ..... If the grocer uses the same number of 5kg bags as. 2kg bags, how many bags did he use in all? Answer #16 x = total number of bags. 5(1/2x) + 2(1/2 x) = 252.</span><span>
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Answer
Step-by-step explanation:
chord makes or arc make 120° at the center.
sum of other two angles of triangle=180-120=60
because they are equal.
so each angle=60/2=30°
tangent line makes angle 90° with radius .
so 30+y=90
y=90-30=60°
Answer:
The number of ways the grasshopper can reach the desired destination are 9 ways
Step-by-step explanation:
The directions in which the grasshopper can jump are;
One block north and one block west
By counting, we have;
The number of possible ways are through blocks
1) 1, 2, 5, 6, 8, 10
2) 1, 2, 5, 6, 8, 9
3) 1, 2, 5, 6, 7, 9
4) 1, 2, 3, 6, 8, 10
5) 1, 2, 3, 6, 8, 9
6) 1, 2, 3, 6, 7, 9
7) 1, 2, 3, 4, 7, 9
8) 15, 14, 16, 12, 11, 10
9) 12, 13, 16, 12, 11, 10
Therefore, there 9 ways the grasshopper can reach the desired destination.
It should be A. 46 because 46-16=30 which means 3•10+16=46. So it is A
