00:01
In the solution of a part, when it is given that the annual salary has mean, which is new is equal to $46 ,700 and our standard deviation is $5 ,600.
00:25
So we have to find here our required probability which is p is x bar less than $44 ,000.
00:34
So this probability can be computed as probability of getting x bar minus mu divided by sigma divided by square root of n, which is less than 44 ,000 minus 46 ,700, further divided by value of sigma, which is 5600, divided by a square root of sample size, which is 42.
01:04
So we have to compute this event and that is probability of getting z less than minus 3 .12 and therefore our probability of getting x bar less than 44 ,000 will be equal to from z normal standard table we will read the value as equal to 0 .309.
01:29
This is our solution for first question of a.
01:34
Now let's move on to the second question which is so here we need to compute probability of getting x par in between 40 ,000 and 51 ,000.
01:48
So this probability can be obtained as probability of getting 40 ,000 minus mu divided by sigma square root of n which is greater than x par minus mu divided by a sigma square root of n.
02:11
Again less than 51 minus 51 ,000 minus nu divided by sigma for the divided by a square root of f.
02:25
So when we compute, this is probability of getting minus 7 .77...