3. With a sample size n = 25 of the normally distributed population with the mean of 125 and standard deviation of 10, (a) (2 points) find Hy. (b) (3 points) find dy. (a) (b) 4. The heights of a certain breed of dogs has a normal distribution with a mean of 28 inches and a standard deviation of 4 inches. If we randomly select 64 of these dogs, what is probability that the mean height of 64 dogs is (a) (3 points) less than 27 inches? M=28, σ = 4 (b) (3 points) greater than 28.5 inches? (a). (b) 5. The average life of a certain blender is 4.5 years with a standard deviation of 1.25 years. Assuming that the lives of these blenders follow approximately a normal distribution, find M: 4.5 = 1.25 (a) (3 points) the probability that the mean life of a random sample of 8 such blenders fall between 4 and 6 years. P(4x (6) (a) (b) (4 points) the value of that separates the top 15% from the rest for a random sample of 8 such blenders. Round your answer to one decimal place. (b)