00:01
Hello, so we have a normal distribution here with a mean and standard deviation.
00:09
So now before we continue, let's convert everything to hours, okay? so now 36 minutes, if you divide by 60, you're going to get 0 .6.
00:21
So 0 .6 plus 2 is going to be 2 .6 hours, okay? then let's do 24 divided by 60.
00:37
That's going to be 0 .4 hour so now we can find our probability so a we want to find the probability of less than 2 hours 15 minutes 2 hours plus 15 minutes so 15 minutes or 15 in hours that is 0 .25 so this is the same as probability of x less than so 0 .25 plus 2 will be 2.
01:24
25 hours so for normal distribution we're going to do x minus mu for standard division less than 2 .25 minus 2 .6 divided by 0 .4 this is z i have 2 .25 minus 2 .6 divided by 0 .4 we're going to have negative 0 .8 8 8 let's check the z table for this probability.
02:14
So for negative 0 .88, we're going to have 0 .18 -943.
02:25
Let me double -check that.
02:28
0 .18 -943.
02:32
So we're going to have 0 .18943.
02:40
Let's check for b between 2 and 3 hours...