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In a specific region, the probability of a thunderstorm occurring during the summer season is 0.3. The probability of heavy rainfall during the summer season is 0.4. The probability of both a thunderstorm and heavy rainfall occurring during the summer season is 0.2. What is the probability that there will be either a thunderstorm or heavy rainfall (or both) during the summer season?

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Two events are said to be independent if the occurrence of one event:

Means that the second event is certain to occur

Means that the second event cannot occur

Does not affect the probability of the ocurrence of the other event

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A sports league has two skill assessment tests: a fitness test and a technical skills test. Suppose 20% of athletes fail the fitness test, 15% fail the technical skills test, and 5% fail both.

If an athlete is randomly chosen, what is the probability that this athlete fails at least one of the tests?

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Researchers study the effect of urban green spaces on air quality by comparing pollution levels in different European cities, some with extensive green parks and others with little green space.

What is the unit of analysis in this study?

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A company wanted to assess the effectiveness of its leadership training program. Managers who voluntarily completed the training were compared to those who did not. Surveys showed that trained managers reported greater confidence. The survey was conducted with all managers across the company.

We can conclude that:

The conclusions are causal but do not generalize to the population of interest.

❌

The conclusions are correlational and do not generalize to the population of interest.

❌

The conclusions are causal and generalize to the population of interest.

❌

The conclusions are correlational and generalize to the population of interest.

✅

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Consider the frequency table below displaying the number of parking tickets that a random sample of 140 individuals got in the last month.


0	85
1	37
2	18

Knowing that the sample mean is 0.521, what is the mean absolute deviation? Present you result with two decimal values.

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The following two-way contingency table gives the breakdown of the population of patrons at a grocery store according to the number of items purchased and whether or not the patron made an impulse purchase at the checkout counter. F and M are: