Check my work? will medal and fan, i already have them worked out, just needing them checked!

Question

jessicawade · Answer

2.	

Currently, quarters have weights that are normally distributed with a mean of 5.670 g and a standard deviation of 0.062 g. A vending machine is configured to accept only those quarters with weights between 5.550 g and 5.790 g. If 280 different quarters are inserted into the vending machine, what is the probability that the mean falls between the limits of 5.550 g and 5.790g?

    A.	

    0.9998
    B.	

    0.0524
    C.	

    0.0002
    D.	

    0.9476

jessicawade · Answer

i got D, im supposed to be using the central limit theorem