badatmath asked:
Can anyone help me with this problem?? Any Help would be amazing:)
Can anyone help me with this problem?? Any Help would be amazing:)
1) Consider the random variable L, the lenght of time it takes for Keith to go around a golf course. The density graph is a triangle from 0 to 4 on the X axis
a)Find the height of the graph
b)Find P(L less than 1)
c) Find P( L is greater than 1 but less than 3)
d) Find P(L greater than 0.5)
THANK YOU SO MUCH!!!
1 response so far ↓
1 mathsmanretired // Jan 31, 2009 at 3:57 pm
You haven’t said what type of triangle so I’ll assume that it is an isosceles one with the apex at x = 2.
The area under a proability density graph must equal 1 as this is the total probability. With a base of 4 the height must be 0.5 so that 4*0.5/2 = 1.
This means that the left hand side of the graph is the line with equation y = 0.25x and the right hand part is the line with equation y = 1 - 0.25x.
You should now be able to work out all of the probabilities you want by calculating areas of right-angled triangles.
(Note that the suggested graph is not very realistic as it gives a reasonble probability that Keith gets round in less than ten minutes.)
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