7. Mike and Julie bought their dream house and want to plant Junipers (trees) along the fence. They want the height of junipers to be high enough to keep their privacy. According to Forestry report, the height of junipers is normally distributed with a mean of 29 feet and a standard deviation of 7. They use this distribution to find the following probability. Show the calculator menu/inputs/output, and use the correct notation.

(a) If a random sample of 16 junipers is taken and the mean x is calculated, find the probability that the mean height of a sample will be taller than 35.5 feet.

(b) If one juniper is randomly selected, find the probability that its height is between 25 feet and 35 feet.

(c) If a random sample of 25 junipers is taken and the mean