An environmental agency is analyzing water samples from 79 lakes for pollution.  Five of the lakes have dangerously high levels of dioxin.  Six of the lakes are randomly selected from the sample.  Using technology, how many ways could one polluted lake and five non polluted lakes be chosen

in a survey of 14 college students, it was found that 9 were taking an English class, 7 were taking a math class, and 6 were taking both English and math. How many students were taking a math class only? How many students were taking an English class only? How many students were taking neither.

In a class, 96% students have at least one smartphone, 98% have a calculator, and 95% have a calculator and at least one smartphone. What percentage of students in the class have neither a calculator nor a smartphone?

People often match their behavior to their social environment. One study of this idea first established that the type of music most preferred by black college students is R&B and that white college students' most preferred music is rock. Will students hosting a small group of other students choose music that matches the makeup of the people attending? Assign 9090 black business students at random to three equal‑sized groups. Do the same for 9696 white students. Each student sees a picture of the people he or she will host. Group 1 sees six blacks, Group 2 sees three whites and three blacks, and Group 3 sees six whites. Ask how likely the host is to play the type of music preferred by the other race. Use ANOVA to compare the three groups to see whether the racial mix of the gathering affects the choice of music.

a report about an isolated community claims there are more newborn females than males although we assume equal frequencies for each. Records indicate 628 boys and 718 girls born in the past month. what are Ho and Ha?

An interdepartmental task force is being formed to investigate an increase in violent crimes. 1/5 of the task force will be police officers from the local precinct. 1/4 will be ATF agents, and the remaining 22 will be from the FBI. How many people are participating in the task force?

Suppose 20% of the students on campus smoke. You select two students at random. In what percentage of samples will both students be smokers?

A researcher studying allergies to animals is interested in performing a study at the local elementary school. At Pineview Elementary, there are 4 1st grade classrooms. The researcher picks 2 of the 4 classrooms and asks every 1st grader in the 2 classrooms what type of animal they own (cat, dog, rabbit, etc.). He also asks how often they experience allergies. What is the sample?