00:01
Now in this question, you give a standard normal distribution with zero mean and a standard deviation, right? so this is, let me call this z, the variable, the random variable of this distribution is z, and then you know the standard normal distribution is basically bare shape centered about z equals zero, right? now the question is, the first question is, what is probably that this less than 1 .54? suppose 1 .50 is some over here, and the probability less than that of course is given by this total area to the left, right? and that, of course, is given by 5, 1 .54, right? and this is why you have defined from the cumulative normal distribution table.
00:43
What's probability z is greater than 1 .82, well, 1 .82, let's say, it's here, and greater than it is representing the area this side.
00:52
Well, that is, of course, given by 1 minus 5, 1 .82, right? what's probably that this between 1 .54 and 1 .82 is somewhere here, right? so that's given by the difference between 5, 1 .82 minus 5 and 1 .54, right? and what is the probability that z is less than 1 .54 or greater than that? so that, of course, given by...