First, let's learn how to use the pnorm() function. This function takes three arguments: a value, along with the mean and standard deviation of a Normal distribution. What this function tells you is the cumulative probability to the left of the value you give it. For example, the following code will give you the cumulative probability of valuesto the left of 4.2 (i.e., less than 4.2) from the N(3.5, 0.5) distribution (NOTE: Please do NOT include this specific line of code in your knitted file; please just use it as a template to answer the questions below it):

pnorm(4.2, mean = 3.5, sd = 0.5)

Adult women's heights are thought to follow the N(65, 3.5) distribution (in inches). Knowing this, insert a code chunk (you really only need one) and use the pnorm() function to answer each of the following questions:

a. Determine the cumulative probability that a randomly selected woman is shorter than 60 inches.

b. Determine the cumulative probability that a randomly selected woman is shorter than 70 inches.

c. If a woman is 68 inches tall, determine what (approximate) percentile she is in. You could also think aboutthis as, if a woman is 68 inches tall, determine the percent of all women that she is taller than.

d. Based on what you got in part c, determine the percent of all women that the same woman (i.e., 68 inchestall) is shorter than.e. Sometimes, intramural (IM) sports teams are very selective of their players. Let's say that there is this oneparticular IM women's basketball team that only selects players who are between 70 and 73 inches. Whatis the probability of a woman falling in this range?