객관식
The table below shows the results from a drug trial for a new ADHD medication. Use the table to find the probability that a person's symptoms improved, given that they received the placebo and identify the type of probability found.
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4. Probability
Introduction to Contingency Tables
Multiple Choice
The table below shows the results from a drug trial for a new ADHD medication. Use the table to find the probability that a person's symptoms didn't improve and they received the non-placebo and identify the type of probability found.
A
0.4; Joint probability
B
0.4; Conditional probability
C
0.2; Joint probability
D
0.2; Conditional probability
검증된 단계별 안내1
Step 1: Understand the problem. We are tasked with finding the probability that a person's symptoms didn't improve and they received the non-placebo. Additionally, we need to identify the type of probability being calculated (joint or conditional).
Step 2: Review the table. The table provides data on the number of people whose symptoms improved or didn't improve, categorized by whether they received the placebo or non-placebo. Specifically, the 'Not Improved' and 'Non-Placebo' intersection is 20.
Step 3: Calculate the joint probability. Joint probability refers to the probability of two events happening simultaneously. To calculate this, divide the number of people who didn't improve and received the non-placebo (20) by the total number of participants (100). The formula is:
Step 4: Understand conditional probability. Conditional probability refers to the probability of one event occurring given that another event has already occurred. If this were a conditional probability question, we would need to divide the number of people who didn't improve and received the non-placebo (20) by the total number of people who received the non-placebo (50). The formula would be:
Step 5: Identify the type of probability. Based on the problem, we are calculating the probability of two events happening simultaneously ('Not Improved' and 'Non-Placebo'), which is a joint probability.
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