Geometric probability homework | Mathematics | Page 1

white peak Mar 9, 2024, 4:55 PM

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Could anyone help me with the questions below?

timber topazBOT Mar 9, 2024, 4:55 PM

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unique jewel Mar 9, 2024, 5:05 PM

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you can use the distance formula to find a boundary line where both points are equidistance and then use the different areas to determine the probability for the number 7 ones

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just as an example for part a you can find that the line y=-x+6 is the line where all points are equidistant from (0,0) and (6,6)

white peak Mar 9, 2024, 5:10 PM

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okay so what i understand is that i can graph the line and it will basically separate the total space into 2 parts right

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thanks~

unique jewel Mar 9, 2024, 5:10 PM

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the probability is A1/A2

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I know it's not well drawn lol

white peak Mar 9, 2024, 5:10 PM

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its alright

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i can understand

white peak Mar 9, 2024, 5:11 PM

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unique jewel the probability is A1/A2

got it👍

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can you also please help me with Q11?

unique jewel Mar 9, 2024, 5:11 PM

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yeah

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gimme a sec to look at it

white peak Mar 9, 2024, 5:11 PM

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kk

unique jewel Mar 9, 2024, 5:17 PM

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so for part a of Q11 you should think about what condition point O has to satisfy in order for triangle ABO to have an area of 15/2 or greater

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for example one such triangle occurs when O is at point C

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or when O is at point D

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since area of a triangle is 1/2 (base*height) the only triangles that take up half the area are triangles with base 5 and height 3

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also keep in mind that the probability that point O will fall on a specific line in the rectangle is 0

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since we're working with continuous data

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Q11 part b pretty much a combination of the area problem from before AND Q11 part a

white peak Mar 9, 2024, 5:25 PM

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oookay

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ill try to do them myself now

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thanks again!

unique jewel Mar 9, 2024, 5:27 PM

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NP hope it goes well

tidal osprey Mar 10, 2024, 4:51 AM

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.solved

#Geometric probability homework