The probability that students who were randomly selected studied for the test, if they pass it with a B or higher grade is: D. 0.80.
<h3>How to calculate the probability?</h3>
In this exercise, you're required to determine the probability that students who were randomly selected studied for the test, if they pass it with a B or higher grade. Thus, we would apply Bayes's theorem.
- Let S represent studied for.
- Let B represent a score of B or higher grade
Therefore, we need to find P(S|B):
S|B = 0.80.
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<u>Complete Question:</u>
At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.
The length of the third side of the triangle will be 4 centimeters if it is a right-angled triangle.
<h3>What is a triangle?</h3>
A triangle is a geometric shape having three sides and the area is equal to 270 degrees. A right angle triangle is one where the angle of one side is exactly 90 degrees.
If two sides measure 3 and 5 centimeters, the triangle will have a right angle if the third side measures around 4 centimeters.
Hence, the third side of the triangle will be 4 centimeters.
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This excerpt contains an historical allusion to the discrimination and bigotry faced by African Americans throughout history in the United States.
<h3>What is historical allusion?</h3>
Historical allusion is known to be a kind of reference point, that is usually found in a speech or any kind of writing.
Note that the excerpt is said to be made up of an historical allusion to the discrimination and bigotry faced by African Americans throughout history in the United States.
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The option that is an accurate statement about Sample Size is; A: A larger sample size is needed for increased accuracy.
<h3>What is true about Sample Size?</h3>
Sample size determination is the act of choosing the number of observations or replicates to include in a statistical sample. The sample size is an important feature of any empirical study in which the goal is to make inferences about a population from a sample.
Now, the smaller the sample size, the lesser the accuracy as you have possibility of biased research from just a handful of people. However, the larger the sample, the greater the degree of accuracy of the research.
Thus, we can say that the option that is an accurate statement about Sample Size is; A: A larger sample size is needed for increased accuracy.
Complete question is;
Which of the following is an accurate statement about sample size?
Select one:
a. A larger sample size is needed for increased accuracy.
b. A smaller sample size will reduce the size of the confidence interval.
c. Sample size is a constant percentage of the population size.
d. Sample size is independent of the confidence interval.
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