At a music store in New York​ City, 68 people entering the store were selected at random and were asked to choose their favorite type of music. Of the 68​, 18 chose​ rock, 18 chose​ country, 4 chose classical and 28 chose something other than​ rock, country, or classical. ​a) Determine the empirical probability that the next person entering the store favors rock music. ​b) Determine the empirical probability that the next person entering the store favors country music. ​c) Determine the empirical probability that the next person entering the store favors something other than​ rock, country, or classical music.

A survey showed that 76​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 14 adults are randomly​ selected, find the probability that at least 13 of them need correction for their eyesight. Is 13 a significantly high number of adults requiring eyesight​ correction?

A survey showed that 71​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 8 adults are randomly​ selected, find the probability that at least 7 of them need correction for their eyesight. Is 7 a significantly high number of adults requiring eyesight​ correction?

Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing their undergraduate degrees. Suppose we randomly select 20 Tulane undergraduates. Find the probability that at least 11 of the students in the sample intend to continue on to graduate school.

Suppose that 20% of fruit flies possess a certain gene.  If we randomly select 20 fruit flies, find the probability that at least 5 flies in the sample possess the gene.  You may assume sampling with replacement.

Ryuji Sakamoto wants to be voted Best Athlete and needs to earn the support of fellow athletes at his high school, Shujin Academy, before the election. He can talk with three groups of students: the track and field students, the volleyball team, and the baseball team. Assume every student fits into only one of these groups and that all students will vote. The size of each group and the chance that the group would vote for Ryuji are given below. Probability the Group will Vote for Ryuji Size of the Group Group (in percent of athletes) Track and Field 47% 76% Volleyball 33% 44% Baseball 20% 43% The percentage of votes Ryuji is expected to get is Number %. Is Ryuji expected to win? Yes O No

Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing their undergraduate degrees. Suppose we randomly select 20 Tulane undergraduates. Find the probability that at least 10 of the students in the sample intend to continue on to graduate school.

Suppose that 20% of fruit flies possess a certain gene.  If we randomly select 20 fruit flies, find the probability that at least 7 flies in the sample possess the gene.  You may assume sampling with replacement.

According to a study done at Otago University Wellington, the probability a randomly selected individual will not cover their mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and you observe 10 people as they sneeze. What is the probability that at least 3 of the people will not cover their mouth when they sneeze?