TI-83 or TI-84 will do these for you, without the need of a
table or calculating the z-score.
Here's how you put it in:
The lower value is 50 and the upper value is 70, μ = 40; σ = 16
normalcdf(lower,upper,μ,σ)
Your problem:
normalcdf(50,70,40,16)
Press ENTER
Read the answer 0.2355891706
Round off like you were told.
Edwin