Aperson's blood pressure is monitored by taking 3 readings daily. The probability distribution of his reading had a mean of 134 and a standard deviation of 2.

a. Each observation behaves as a random sample. Find the mean and the standard deviation of the sampling distribution of the sample mean for the three observations each day.

b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the samplingdistribution?

c. Refer to(b). Find the probability that the sample mean exceeds 140.