00:01
Hello students, in the given question we have to determine the probabilities.
00:05
First, probability of z is less than 1 .05.
00:11
We have to determine this probability.
00:14
So, this means that the probability of getting value less than 1 .05, the standard deviation above the mean is equal to 0 .8531.
00:48
Therefore, the probability of z is less than 1 .05 is equal to 0 .8531 by using distribution table.
01:07
The second probability is probability of minus 1 .96 is less than z is less than 1 .96.
01:19
So, from the table this means that the probability of getting value between 0 .96 to plus 1 .96.
01:30
So, the standard deviation from mean is equal to 0 .95.
01:42
Therefore, the probability of minus 1 .96 is less than z is less than 1 .96 is equal to 0 .95.
01:55
Now, we have the two conditions as here the mu equals to 100 and the standard deviation equals to 10.
02:10
Then, we have to find out the third probability as probability of x is less than 85...