• Prices of milk is a _____ variable. Fat content of milk is a _____ variable.

qualitative ----- qualitative

categorical ----- qualitative

categorical ----- categorical

numerical ----- numerical

• Speed of a car is a _____ variable.Number of persons attending a conference is a _____ variable.

categorical ----- continuous

discrete ----- categorical

continuous ----- discrete

discrete ----- continuous

• Calculate thepopulation varianceof the data set below.

3,14,15,92,65,35,89,79,32,38

• The average exam grade in a class is 93, and the standard deviation is 4.

Calculate thez-scoreof a grade of 95.

• The75th percentileof any data set is equal to the _____.
• How many 4-letter passwords can be formed using the available lettersA,B,C,D,E,F,GandH? ( No letter can be repeated ).

• In how many ways can7different cars be arranged in a row ?
• From a group of9employees, a manager has to select3to go to a training session. In how many ways can the selection be done ?
• Evaluate10P3.
• A coin is flipped 30 times, and the results are: 27 heads and 3 tails.

Based on these results, calculate the empirical probability of TAIL.

• A fair coin is flipped twice. What is the probability of obtaining double TAIL ?
• 35 % of the applications for a particular job are rejected by the prospective employer. What is the probability that among 10 applicants, at least 4 will be rejected ?
• Only 5 % of students in a class get an A in the Final Exam. If 10 students are randomly picked from that class, what is the probability that at most 2 of them will get an A in the Final Exam ?
• Customers arrive at a bank at a rate of 18 per hour. What is the probability that less than 19 customers will arrive at that bank in a 60 minuteperiod ?
• The cooking time for a dish is uniformly distributed between 10 and 20 minutes. What is the probability that the cooking will take between 14 and 16 minutes ?
• The driving time for an individual from his home to his officeis uniformly distributed between20minutes and1hour. Compute the probability that this individual takes more than half an hour to drive from home to office.
• The grades of students in an exam are normally distributed with a mean of 75 and a standard deviation of 5. What percentage of grades are between 72 and 90 ?
• The salaries of teachers in a particular school district are normally distributed with a mean of $ 50,000 and a standard deviation of $ 2,500. Due to budget limitations, teachers in the top 2 % of salaries will not get a raise. What is the cutoff salary ( rounded to the nearest dollar ) that separates the teachers that get the raise from those that don't get the raise ?