Need help on the following problem attached below:

Suppose the sediment density (g/cm) of a randomEy seiected specrmen from a certain region is nonnaiiyr distnbuted wrth mean 2.66 and standard deviation 0.9:]. (a) If a random sampie of 25 speCimens Ls seiected, what is the probabIEity that the sampie average sediment densityr is at most 3.0m (Give answer accurate to 3 decimal places.) 0.9706 (b) What vaiue of x for sediment density is such that the sampie mean is at most .7: With probability .99? (Give answer accurate to 2 decimal places.) 3.08 y g/crn (c) How large a sample s'rze would be required to ensure that the probabiiity in part (a) is at Feast .99? n = 39 x Don't forget to round up