00:01
In this problem, we are told that jason wants to get paid $55 ,000 per year.
00:07
And he has offers at companies a and b, and the salaries at these two companies are distributed as shown here in these two sentences.
00:19
And we are first asked to provide the z scores for jason's desired salary at both companies.
00:27
So at company a, z is equal to x minus the mean over the standard deviation.
00:37
X is 55 ,000, that's what jason wants to be paid.
00:54
For company a this comes out to 1 .628 approximately.
01:01
And then for b it's 55 ,000 minus the mean at b which is 46 ,820 divided by the standard deviation.
01:17
This comes out to approximately 1 .389.
01:25
And seeing that we're asked to around to two decimal places it's 1 .39 and 1 .63.
01:35
And then the next question is, at which company is jason more likely to achieve his desired salary of 55 ,000? now suppose this is the standard normal distribution.
01:49
The z score for his salary at company a is 1 .63, and the z score for his salary at company b is 1 .39...