conditional probabilities assignment
A survey of students at a large high school reveals that 59% of the students are studying a language other than English. The options for language study at the school include Spanish, French, Japanese, and American Sign Language (ASL). Currently, 6% of the students who study a language other than English are studying ASL. Suppose we select a student from the survey at random. Given that the student is studying a language other than English, what is the probability that the person is studying ASL?
0.102
A biology class conducted an experiment to determine if playing classical music had an effect on the hatching rate of chicken eggs. Here are their results. Let event A = Music and event B = Hatched. Calculate the following: P(A|B) =
0.589
A random sample of US adults revealed that approximately 68% own their own home. In this same sample, 52% of the respondents had completed some additional form of education following high school (trade or technical school, 2-year or 4-year college, military training, etc.). Finally, 44% of respondents had completed some additional form of education following high school and owned their own home. Given that a randomly selected adult from the survey has completed some additional form of education following high school, what is the probability that the person is a homeowner? 0.44
0.846
A biology class conducted an experiment to determine if playing classical music had an effect on the hatching rate of chicken eggs. Here are their results. Let event A = Music and event B = Hatched. Calculate the following: P(B|A) =
0.981
A biology class conducted an experiment to determine whether playing classical music had an effect on the hatching rate of chicken eggs. Here are their results. Let event A = Music and event B = Hatched. Are events A and B independent?
No, P(A) ≠ P(A|B).
The following two-way table shows the distribution of pets in a large apartment building. Suppose we select a resident of the apartment building at random. Let event A = Cat and event B = Dog. Calculate and interpret P(A|B).
cat dog 0.90
The following two-way table shows the distribution of pets in a large apartment building .Suppose we select a resident of the apartment building at random. Let event A = Cat and event B = Dog. Calculate and interpret P(B|A).
dog cat 0.519
Members of a charity organization are interested in finding ways to make it easier for individuals to donate money to their cause. They analyze the data from their last fiscal year of donations and find that 75% of their money came from online sources. Of the 60% of donations that came from regular donors (repeat donors), approximately 95% were submitted through the organization's website. Is the method of donation (online vs. not online) independent from the type of donor (regular vs. new) in this sample?
no
The following two-way table shows another distribution of pets in a large apartment building. Suppose we select a resident of the apartment building at random. Let event A = Lizard and event B = Dog. Are events A and B independent?
yes P(A) = P(A|B)
