A statistics test in Professor Gomez’s class is normally distributed with a mean of $58$ and a standard deviation of $7$. Grades are assigned as follows: top $5\%$ get an A, next $15\%$ get a B, middle $60\%$ get a C, bottom $5\%$ get an F, and the rest earn a D. What are the score cut-offs for each grade?

A: above $69.51$,

B: $63.57$ to $69.51$,

C: $52.43$ to $63.57$,

D: $46.49$ to $52.43$,

F: below $46.49$

A: above $70.00$,

B: $64.00$ to $70.00$,

C: $53.00$ to $64.00$,

D: $47.00$ to $53.00$,

F: below $47.00$

A: above $68.00$,

B: $62.00$ to $68.00$,

C: $51.00$ to $62.00$,

D: $45.00$ to $51.00$,

F: below $45.00$

A: above $67.00$,

B: $61.00$ to $67.00$,

C: $50.00$ to $61.00$,

D: $44.00$ to $50.00$,

F: below $44.00$