Stat-101, Midterm Exam (2) Almajmaah Engineering College King Saud University Stat 101 9/6/1430 Name: Group: 1079 Academic Number: Time allowed : 60 min. Total Midterm Exam (2) 1. The following data give the speeds of 13 cars, measured by radar, travelling on the highway in mile/hr a) Find the values of the three quartiles and the interquartile range. b) Calculate the (approximate) value of the 35th percentile. c) Find the percentile rank of 71 2. Prepare a box-and-whisker plot for the following data: 11 8 26 31 62 19 7 3 14 75 33 30 42 15 18 23 29 13 16 6 Does this data set contain any outliers? 3. Define the following terms: An experiment – Outcome - Simple event and Compound event 4. Complete: An event that cannot occur has ............ probability; such an event is called .................event. An event that is certain to occur has a probability equal to ........... and is called a .......... event. 1 Stat-101, Midterm Exam (2) 5. List the simple events for each of the following statistical experiments in a sample space S. a. One roll of a die b. Three tosses of a coin c. One toss of a coin and one roll of a die 6. Draw the Venn and tree diagrams for the experiment of tossing a coin twice. 7. Find the probability of obtaining an even number in one roll of a die. 8. In a group of people, some are in favor of descriptive engineering and others are against. Two persons are selected at random from this group and asked whether they are in favor of or against descriptive engineering. How many distinct outcomes are possible? Draw a Venn diagram and a tree diagram for this experiment. List all the outcomes included in each of the following events and mention whether they are simple or compound events. d. Both persons are in favor of descriptive engineering. e. At most one person is against descriptive engineering. f. Exactly one person is in favor of descriptive engineering. Good Luck 2