3. A random sample of 100 students was chosen from UMUC STAT 200 classes. The frequency distribution below shows the distribution for study time each week (in hours). (Show all work. Just the answer, without supporting work, will receive no credit.)

Study Time (in hours) 

(a) Complete the frequency table with frequency and relative frequency. Express the relative frequency to two decimal places. 

(b) What percentage of the study times was at least 10 hours? 

(c) In what class interval must the median lie? 5.0 - 9.9, 10.0 -14.9, 15.0 - 19.9, or 20.0 - 24.9? 

Why? 

 

 

 

4. The five-number summary below shows the grade distribution of a STAT 200 quiz for a sample of 150 students. 

Answer each question based on the given information, and explain your answer in each case. 

 

 

(a) What is the range in the grade distribution? 

(b) Which of the following score bands has the fewest students? 

(i) 35 - 50 

(ii) 50 - 65 

(iii) 85 - 100 

(Iv) Cannot be determined 

(c) How many students in the sample are in the score band between 65 and 100? 

 

5. A basket contains 3 white balls, 2 yellow balls, and 5 red balls. Consider selecting one ball at a time from the basket. (Show all work. Just the answer, without supporting work, will receive no credit.) 

(a) Assuming the ball selection is with replacement. What is the probability that the first ball is red and the second ball is also red? 

(b) Assuming the ball selection is without replacement. What is the probability that the first ball is red and the second ball is also red? 

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