0:00
All right, hello.
00:01
In this question, we're told information about a weight loss diet, and we're told that the weight loss varies uniformly between 6 and 12 pounds.
00:09
So what does that mean? if i draw my pound plot here on my x -axis, and then i draw what the probability of that weight loss is, 6 to 12 pounds, uniformly means the probability that we have 6 is the same we have 12 is the same we have 8, 7, anything between 6 and 12.
00:31
So our plot will look something like this.
00:33
These all have equal probability.
00:36
And we're asked to find the probability that the weight loss is less than 7 pounds.
00:40
So if i mark in a 7 here, what is the probability that i have less weight loss, less than that? so that's really just what is this area over the total area of this square, right? and so this is going to be probability of less than, sorry, less than or equal to 7 is going to be, well, we can just do the area, we can say it's going to be the blue area over the total area, which if we did that, it would be 7 minus 6.
01:11
That's the base times the height, whatever this height is, i'll call it little p times our probability p over our total area, which is 12 minus 6 times our little p...