Suppose that the waiting time until a bus arrives at a bus stop has
a uniform distribution on the interval 0 and 30 minutes.
What is the probability that you will have to wait 20 minutes or more for the bus?
2007-03-11 06:07:20 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Since this is a uniform distribution, then the probability of each occurence is the same. It's like have a probability distribution function that is shaped like a rectangle (the width is 30, because it is 0 to 30, while the height is 1/30, so that the total probability is equal to 1). Thus, to wait for more than 20 minutes will cover 20 to 30 minutes, which has a width of 10. Multiply that with the height to get total, we have 10*(1/30) = 1/3. That would be the total probability.
Hope that helps.
2007-03-11 06:15:36 · answer #1 · answered by Moja1981 5 · 2⤊ 0⤋
The probability that you will have to wait 20 minutes or more is,
(30-20)/30 = 1/3.
2007-03-11 06:11:49 · answer #2 · answered by sahsjing 7 · 1⤊ 0⤋
uniform means that the probability of the bus coming on minute 1 is the same as it coming on any other minute, correct (i don't recall covering this distribution in statistics, so I'm making an assumption that you'll need to verify)?
So what's the percentage of the time between 20 and 30 minutes? 30-20=10minutes, divide that by 30 minutes...
and your probability is 1/3.
2007-03-11 06:16:24 · answer #3 · answered by contemplating 5 · 1⤊ 0⤋
its 1/3 because there are 10 possible minutes that you could wait to satisfy that condition out of 30 total possible and 10/30=1/3
2007-03-11 06:17:47 · answer #4 · answered by MLBfreek35 5 · 1⤊ 0⤋
The odd are 100-1 that the bus will come within 60 seconds once you light up another cigarette.
2007-03-11 06:32:45 · answer #5 · answered by Anonymous · 0⤊ 1⤋
the bus is always late, independant of mathematics
2007-03-11 06:15:10 · answer #6 · answered by Nick S 3 · 3⤊ 0⤋
33.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333% chance
1 in 3 chance
2007-03-11 06:29:48 · answer #7 · answered by shanna w 1 · 1⤊ 0⤋
JESUS CHRSIT THE ONLY GOD . SO I WON'T ANSWER IT .AND GOD BLESS U.
2007-03-11 06:12:13 · answer #8 · answered by jesus our king 2 · 2⤊ 2⤋