Contingency Tables · Try It 4

relates the weights and heights of a group of individuals participating in an observational study.

$$\begin{array}{ccccc}\text{Weight/Height}& \text{Tall}& \text{Medium}& \text{Short}& \text{Totals}\\ \text{Overweight}& \text{18}& \text{28}& \text{14}& \\ \text{Typical Weight Range}& \text{20}& \text{51}& \text{28}& \\ \text{Underweight}& \text{12}& \text{25}& \text{9}& \\ \text{Totals}& & & & \end{array}$$

(a) Find the total for each row and column
(b) Find the probability that a randomly chosen individual from this group is Tall.
(c) Find the probability that a randomly chosen individual from this group is Overweight and Tall.
(d) Find the probability that a randomly chosen individual from this group is Tall given that the individual is Overweight.
(e) Find the probability that a randomly chosen individual from this group is Overweight given that the individual is Tall.
(f) Find the probability a randomly chosen individual from this group is Tall and Underweight.
(g) Are the events Overweight and Tall independent?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §3.4 Contingency Tables · Try It 4