The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $\backslash (4.59$and a standard deviation of $\backslash )0.10$. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the $16$gas stations. The distribution to use for the average cost of gasoline for the $16$gas stations is:

a.$\overline{X}~N(4.59,0.10)$

b.$\overline{X}~N\left(4.59,\frac{0.10}{\sqrt{16}}\right)$

c.$\overline{X}~N\left(4.59,\frac{16}{0.10}\right)$

d.$\overline{X}~N\left(4.59,\frac{\sqrt{16}}{0.10}\right)$

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