00:01
This question given mean is 50 ,000 standard deviation is 20 ,000.
00:15
First question is we have to find probability of x greater than 40 ,000.
00:23
So, standardize this we get probability of x minus 50 ,000 divided by 20 ,000, less than 40 ,000 minus 50 ,000 divided by 20 ,000, which is equal to probability of z less than minus 0 .5.
01:00
That is, that is we get the probability is 03085.
01:09
Next is we have to find the probability that 45 ,000 less than x less than 65 ,000, which is equal to standardize this we get probability of 45 ,000 minus 50 ,000 divided by 20 ,000, less than x minus 50 ,000, less than x minus 50 ,000, divided by 20 ,000, less than x minus 50 ,000, divided by 20 ,000, less than 65 ,000 minus 50 ,000 divided by 20 ,000.
01:52
That is, we get probability of minus 0 .25 plus than z less than 0 .75.
02:02
That is same as probability of z less than 0 .75 minus probability of z less than minus 0 .25...