Can anyone help please? A certain strain of bacteria occurs in all raw milk. Let x be the bacteria count per milliliter of milk. The health department has found that if the milk is not contaminated, then x has a distribution that is more or less mound-shaped and symmetric. The mean of the x distribution is = 2500, and the standard deviation is = 300. In a large commercial dairy, the health inspector takes 42 random samples of the milk produced each day. At the end of the day, the bacteria count in each of the samples is averaged to obtain the sample mean bacteria count x. a) Find the mean of x distribution. (b) Find the standard deviation of x distribution. (c) What is the probability distribution of x? (d) Write the short-hand notation for the distrbution you found in part c. (e) Assuming the milk is not contaminated, what is the probability that the average bacteria count x for one day is between 2350 and 2650 bacteria per milliliter? (f) At the end of each day, the inspector must decide to accept or reject the accumulated milk that has been held in cold storage awaiting shipment. Suppose the 42 samples taken by the inspector have a mean bacteria count x that is not between 2350 and 2650. If you were the inspector, what would be your comment on this situation