1st parts ok
Using a standard Z table, 98% of the area is above the -2.054 std. So, the new mean is
16 + 4*2.045 = 24.18
1a) for an organic dairy cow, shortly after calving, assume that the amount of milk produced follows a normal distribution with a mean of 27 litres of milk per day and a standard deviation of 4 litres of milk per day.
i) calculate the probability that an organic dairy cow will produce less than 33 litres of milk per day.
My answer - 0.9332
ii) calculate the probability that an organic dairy cow will produce between 24 litres and 33 litres of milk per day.
My answer - 0.7066
B) later in the milking cycle the amount of milk produced still follows normal distribution. However, the mean value will decline but the standard deviation will remain the same. Calculate the new mean value for the amount of milk produced each day at this point in the milking cycle if the probability that an organic diary cow will produce more than 16 litres of milk per day is 0.98.
I don't understand how to part B. Please explain
Thankyou
1 answer
1 answer