a. What is the probability of being male and having used opioids 100 times or more before the first overdose? b. What is the probability of being male or having used opioids 100 or more before the first opioid overdose?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
1. The following table shows hypothetical data on the frequency of opioid use among adult male and
female opioid users before they experience their first non-fatal overdose:
| Use of Opiods Before First Overdoes | Males | Females | Total |
| 1-19 times | 32 | 7 | 39 |
| 20-99 times | 18 | 20 | 38 |
| 100+ | 25 | 9 | 34 |
| Total | 75 | 36 | 111 |
For the questions below, identify the
statistical notation. Also for each, provide a brief interpretation and state your finding(s) to a lay
audience.
a. What is the probability of being male and having used opioids 100 times or more before the
first overdose?
b. What is the probability of being male or having used opioids 100 or more before the first opioid
overdose?
c. Are gender and use of opioids before first overdose independent characteristics in this group?
Explain your answer with a specific example.
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