a. Explain how would you calculate the probability that a randomly selected individual has a height greater than 185 cm?

b. Explain how would you calculate the probability that a randomly selected individual has a height between 160 cm and 180 cm?

c. Calculate the 90th percentile of the height distribution. What does this value represent in the context of heights?

d. In a random sample of 49 individuals from this population, what is the probability that the sample mean height is within 1 cm of the population mean?

e. Suppose we want to find the height range that contains the middle 95% of the individuals in the population. Explain how do you obtain the lower and upper bounds of this range?

f. If you needed to cast a basketball team with the tallest players from this dataset, how many players would you need to ensure they win every game without jumping? Explain.

E – Statistical Intuition in Sustainability: COP-28

Imagine you have been invited to participate in the upcoming COP-28 which gives you an opportunity to contribute to the community using your statistical skills. You conducted a survey within your area and observed the recycling behavior in your community and recorded whether individuals in the community recycle (“1” for yes and “0” for no). You managed to get 100 records.