Standardising

Try to get in the habit of writing down all the info in the question.
Here you'd use the 5% info to get an equation to get sigma, then use sigma to get the 1.05 probability.

P(x>1.05) = 1 - P(x<=1.05)
Its just the usual stuff?

What are the value for mu and sigma that I would put in because I’m not getting anything close to them?

sigma 0.0182 should be from the first part and mu is given in the question 1.03.
The difference of 0.02 (1.05-1.03) is about 1 standard deviation, so the upper tail shoulld be about 15% which is what the answer is. Upload what youve tried if youre still unsure.

They're using the Z-table. Once you know how many $\sigma$ from the mean the value is, that's all you need to work out probability.

It’s just my calculator, my lower bound is 1.05, my upper bound is a big number and my mu/sigma are what you said but that gets me a p of 0.46

So it’s 1.09 sigma away from the mean but how would I change that into a probability?

2 is a big number in this context, can you try it with that?

That is your z value, 1.09. So calculator/tables to get the cumulative probability for eitehr
P(z<=1.09)
P(z>=1.09)

Yeah so when I use 1.09 as lower, mu as 0 and sigma as 1 it gives me the correct answer

z should be 1.09, not 0.109?
z uppper should be ~10

So what should I put in as the bounds of I’m using mu as 1.03 and sigma as 0.0183

Did you enter 0.0182 or 0.182 for sigma?