The random variable x is the number that shows up when a loaded die is rolled. Its probability distribution is given in the table. Find the expected value of the random variable.    

 Type the five number on the answer box, construct the box plot from the data below on your work paper. Min =__________       Q1 =______________      Q2 =___________      Q3 =____________   Max =____________ 

There are 12 women running in a race. How many different ways could first, second, and third place finishers occur?               

The mean weekly income of teachers in one state is $390 with a standard deviation of $45. The incomes are approximately normally distributed. What is the probability that a randomly selected teacher earns more than $425 a week? 

Find the area of the shaded region. 

The table below shows the soft drinks preferences of people in three age groups. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age and they drink lemon lime         

A bag contains 9 red marbles, 4 blue marbles, and 2 green marbles. a. What is the probability that a randomly selected marble is not blue? b. What are the odds against a blue marble? 

Formula sheets may not be used on this exam; the binomial probability formula and the z-score are provided below.  The z-score table and a picture of the 52 playing cards are provided with this exam.   Binomial Probability Formula: z-score formula:  

Three fair coins are tossed. Give each of the following: a. the sample space b. the probability of getting at least 1 head

The distribution of B.A. degrees conferred by a local college is listed below, by major:                                                 Major                  Frequency English                        2019 Mathematics              2205 Chemistry                     316 Physics                          902 Liberal Arts                1350 Business                     1750 Engineering                 878                                    9420 What is the probability that a randomly selected degree is not in Mathematics?