Home › BAF (Bachelor of Accounting & Finance) › Business Statistics › Probability Topics › Learning Spanish has probability 0.4 and learnin…
Learning Spanish has probability 0.4 and learning German 0.2, while learning both has probability 0.08. Are the two independent?
ANo, because 0.08 is smaller than 0.4
BNo, because 0.08 does not equal 0.60
CYes, because 0.08 is close enough to 0.2
DYes, because 0.4 times 0.2 equals 0.08
Answer & Solution
Correct answer: D. Yes, because 0.4 times 0.2 equals 0.08
1. The product test asks whether the joint probability equals the product of the two separate probabilities.
2. Multiplying 0.4 by 0.2 gives 0.08.
3. The stated joint probability is also 0.08, so the test is satisfied and the events are independent.
4. Only one of the three conditions has to hold, so no further checking is needed.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.2 Independent and Mutually Exclusive Events_
Related questions
An experiment whose result is not predetermined is called a:A conditional probability differs from an ordinary one because the count is divided by:On a fair six-sided die, the outcome of any one face is:A sample space can be represented by listing outcomes, by a Venn diagram, or by a:Sampling without replacement makes successive picks dependent because:Sampling with replacement means each member picked:Two events are independent when the outcome of the first:Independent and mutually exclusive are terms that: