(a)[2]
Find the probability that a randomly selected large bag contains less than $2.65\,\text{kg}$ of pasta.
(b)[3]
A restaurant manager buys 160 of these large bags of pasta. Find the number of bags for which you would expect the mass of pasta to be more than $1.65$ standard deviations above the mean.
(c)[5]
The masses of the company's small bags of pasta are normally distributed with mean $\mu\text{ kg}$ and standard deviation $\sigma\text{ kg}$. Tests indicate that $77\%$ of these bags have masses greater than $1.26\text{ kg}$, and $44\%$ have masses less than $1.35\text{ kg}$. Find, in either order, the value of $\mu$ and the value of $\sigma$.