00:01
The speed of cars passing through the intersection of blossom hill road and the almaden expressway varies from 12 to 35 miles per hour and is uniformly distributed.
00:10
None of the cars travel over 35 miles per hour through the intersection.
00:14
So i can't see a, b, c, d, or e, but i can see f, and f is asking us for the standard deviation.
00:21
So we take 35 minus 12 and we divide it by the square root of 12 to get that, and that's 6 .64.
00:28
For g, what's the probability that a car that is speeding, at, or i'm sorry, that the speed of a car is at most 28 miles per hour? so the probability that x is less than or equal to 28 can be found by taking 28 minus that lower bound of the distribution, and we're dividing that by 35 minus 12.
00:54
And they want us to write this as a fraction, so that would be 16 over 23.
00:59
For h, what's the probability that the speed of a car is between 17 and 24? so this time our numerator will be 24 minus 17 and our denominator is still 35 minus 12, so that's going to give us a fraction of 7 over 23.
01:24
State the probability p22 less than x less than 58 in a probability question, and that would be the second question that says, what is the probability that the speed of the car is between, so that's the word we want, between 22 and 58.
01:52
For j, we're going to find the 90th percentile.
01:55
Oh, i'm sorry, they also want us to draw a picture and find the probability, so let's do that before we get to j.
02:01
So for our uniform distribution, our distribution that's given to us means that we are between 12 and 35, and our probability or our chance is 1 over 23.
02:30
And so we need to, our values are going to be within this box...