Final answer:
The question asks for two probabilities related to athletes stretching before exercising: the overall probability and the conditional probability given no injury last year. Without the specific data from Table 3.4, numerical answers cannot be provided.
Step-by-step explanation:
To solve the problems given, we need to understand basic probability concepts. Probability is the measure of the likelihood of an event occurring and is expressed as a number between 0 and 1. Now, let's examine each part of the question:
- P(Athlete stretches before exercising) refers to the total probability that an athlete stretches before exercising. To calculate this, we would look at the total number of athletes who stretch divided by the overall number of athletes surveyed.
- P(Athlete stretches before exercising|no injury in the last year) is a conditional probability. This measure considers only the subset of athletes who did not have an injury in the last year and calculates the probability that among this group, an athlete stretches before exercising.
To answer the question fully, one would need the actual data from Table 3.4, which is not provided in the prompt. Therefore, it is not possible to give numerical answers to parts a and b without additional information.