The following table shows the results of a survey of authors by a (fictitious) publishing company.   New Authors Established Authors Total Successful 20 10 30 Unsuccessful 10 2 12 Total 30 12 42 Consider the following events: S: an author is successful; U: an author is unsuccessful; N: an author is new; and E: an author is established. Describe the events S ∩ N and S ∪ N in words. S ∩ N is the event that an author is        . S ∪ N is the event that an author is        . Use the table to compute n(S ∩ N) and n(S ∪ N). n(S ∩ N)=n(S ∪ N)=

Suppose the data below represent, in thousands, the type of health insurance coverage of people by age. Determine P( 64 79,133 55,331 24,270 24,495 14,055 12,897 39,495 13,851 7,811 27,848 554 79,773 121,036 82,079 64,319 P(< 18 years old) = (Round to three decimal places as needed.) Total 206,201 90,942 50,064 347,207

4b) Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board members are Allison, Betty, Charlie, Dave, and Emily. The possible simple events can be represented as follows: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on board. The events A and B are defined as follows: A= event that Betty and Allison are both selected B = event that Charlie and Dave are both selected Then the events A and B mutually exclusive. True 2 False the

What is the probability of randomly selecting a student that is a car rider OR uses the bus? Also, determine whether the events are Mutually exclusive or inclusive. Drive Themselves 33 26 Car Rider 12 14 Uses the Bus 15 20 Total Female Male Total 60 60 59 26 35 120 88

16. Given that two events A and B are mutually exclusive, P(An B) is: a. b. C. d. 17. At a pet store you can choose between 6 fish species, 2 mini frog species, and 4 plant species. You want your tank to contain one fish, one frog, and one plant. How many different setups are possible for your tank? a. 12 b. 48 C. 3 d. 0 0.50 1 None of these a. b. 18. A set of data is normally distributed with a mean of 7 and a standard deviation of 2.5. Calculate the z- score for the data value x = 5: C. d. 122 0.80 -0.80 0.90 -0.90

A poll of 120 city residents found that 30 had visited the new museum, and that 80 had been to the new park. If it appeared that going to the park and going to the museum were independent events, how many of those polled had been to both? Park O 20 O 15 Museum Yes No Total Hint: P(went to park and went to museum) divided by total people surveyed O 10 Yes ?? No 80 40 Total 30 90 120 OIt cannot be determined.