Using conditional probability, the equation that implies that a and b are independent events is P(B|A) = P(B).
<h3>What is Conditional Probability?</h3>
Conditional probability is the probability of one event happening, considering a previous event. The formula is:
In which:
- P(B|A) is the probability of event B happening, given that A happened.
- is the probability of both A and B happening.
- P(A) is the probability of A happening.
If A and B are independent events, we have that:
.
Then, at the conditional formula:
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Based on the fact that Steve was originally driving the speed limit and then stopped a few hours and drove slower, the situation models a piecewise defined function.
<h3>What is a piecewise defined function? </h3><h3 />
This is a type of function where there are two or more parts joined together. In other words, there are two equations to represent the different parts of the function.
In this case, Steve was driving at a certain speed. This is one function. Then he stopped for a couple of hours which is another function. Then the last function has him driving slower than the speed limit.
In conclusion, this is a defined piecewise function.
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Answer: 513.247
Step-by-step explanation:
Answer:
15/31
Step-by-step explanation:
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