# Uniform Probability Distribution

ok so the uniform probability model is

as follows true story went to my basement last

night and it’s full of water so I’ve got a leak in a pipe call the plumber

plumber says i’ll be here between 130 and two-thirty so I say well you know

look I’m going to be in class i’ll send my send somebody over to stay there can

you tell me when between 130 and 230 you’re gonna be there he says no equal

probability in those 60 minutes every minute he has the same probability of

being there getting there so I say okay well let’s see now i’ll just say zero

minutes past 1 30 to 60 minutes past 130 he has a uniform probability

distribution being there any particular minute and and it has of course the same

probability i can figure out this probability is because the area under

the curve equals 1 so if i have a length of 60 here and i

have 60 times what equals 1 I know this what must be 160th so in

other words i have a probability of 1/60th which is fine and really basically

will be 1 minus and then whatever B minus a is right whatever this length is

in this case 1/60th well that’s fine but I really don’t need to know that for

uniform probability i told you that it was the easiest one and here’s the idea

what’s the probability that he’ll be there between and you know a 1:45 and 2:00 so that’s between the 15 minutes in the 30 minutes well let’s see there’s 15 30 45 so I

1234 parts we’re talking about 15 minutes out of 60

minutes or one part out of four there’s a one-fourth probability that he’ll get

there between the 15 minutes and 30 minutes how about between 15 and 60 okay well

that’s 15 and 60 so they have 120 sorry there’s

four parts total still and there’s one two three parts out of four so basically

if you have if it ever said you just have to recognize the vocabulary if you

ever see uniform probability then you know that it has looks like a rectangle

and you can basically find the area find the probability by computing the area

just by dividing the rectangle up into parts