Answer:
a) uniform
b) 1/2
c) 1/1000
Step-by-step explanation:
a) "numbers with equal probability" have a uniform distribution.
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b) Even numbers make up 1/2 of all numbers.
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c) There are ten such numbers in the range, so the probability is ...
10/10000 = 1/1000
I suspect you may have slipped up as you copied the question. Exactly as you wrote it, it has a single zero, at x= 2 .
Let’s call the speed of the slower car S, then the speed of the other is S+10mph.
At 5pm they have been travelling for 3 hours. The slower car travels a distance 3S and the faster one 3(S+10).
But the two distances must add up to 240 miles so 3S+3(S+10)=240, 3S+3S+30=240, 6S=210, S=35 mph. The faster car’s speed is 45mph. We can see that 3S is the same distance as 3x, so x=S=35 mph, and the distance the faster car travels is 3×45=135 miles.
