00:01
Hello students in the question a that is to find the probability that z lies between minus 1 .56.
00:10
So cumulative probability of z less than minus 1 .56.
00:14
So this is cumulative probabilities for z is equal to minus 1 .56 is equal to 0 .0594 and probability of z less than 1 .85 is equal to 0 .9679.
00:37
So here the probability that z lies between minus 1 .56 to 1 .85 is given by probability of z less than 1 .85 minus probability of z less than minus 1 .5.
01:01
So this is just 5 minus 1 .56 which is equal to 0 .9679 minus 0 .0594 which gives us the answer 0 .9085.
01:18
Then the next question b so to find probability that the z is less than minus 1 .56 or greater than 1 .85.
01:35
So probability of z less than minus 1 .56 or probability of z greater than 1 .85.
01:45
This will be equal to probability of z less than minus 1 .56 plus 1 minus probability of z greater than 1 .85.
01:59
So this is equal to 0 .0594 plus 1 minus 0 .9679.
02:13
This gives us the answer 0 .0915.
02:24
Then next c what is the value of z if only 4 percent of all possible values are larger.
02:36
So to find the z if only 4 percent of all possible values are larger we need to find the z value that corresponds to cumulative probability 1 minus 0 .04 which is 0 .96...