Answered

Find the best solutions to your problems with the help of IDNLearn.com. Our platform is designed to provide quick and accurate answers to any questions you may have.

The following is a table of probabilties calculated from a survey of BHCC students with the question asked "How many classes are you taking this semester?" X: # of classes 1 2 3 4 5 P(x) 0.16 0.3 0.11 0.35 0.08 Using the table, find the following probabilities for a student selected at random: What is the probability that a student is taking no more than 2 clases?

Sagot :

Let X be the number of classes a student is taking. We are asked for the probability that a student is taking no more than 2 clases, this translates the fact that X<=2. That is, X is either 1 or 2. Since the events of taking 1 or taking 2 classes are exclusive (meaning that it cannot happen that a student takes 1 class and takes 2 classes at the same time), then

[tex]P(X\le2)\text{ = P(X=1)+P(X=2)}[/tex]

In our table, P(X=1) = 0.16 and P(X=2) = 0.3. Then

[tex]P(X\le2)\text{ = P(X=1)+P(X=2)=0.16+0.3 = 0.46}[/tex]

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.