New Authors Established Authors Total Successful 7 10 17 Unsuccessful 12 6 18 Total 19 16 35 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 N ∩ U and N ∪ U in words. N ∩ U is the event that an author is        . N ∪ U is the event that an author is        . Use the table to compute n(N ∩ U) and n(N ∪ U). n(N ∩ U)=n(N ∪ U)=

Let S = {4, 9, 14, 19, 24, 29}, E = {9, 19, 29}, F = {4, 14, 24}, and G = {24, 29}. (Enter ∅ for the empty set.) Find the event (E ∩ F ∩ G)c.

please do all parts

None

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

Let A be the event a person has blond hair and B be the event that a person has blue eyes

3. Casualties of the Titanic In 1912 the Titanic struck an iceberg and sank on its first voyage. Some passengers got off the ship in lifeboats, but many died. The following two-way table gives information about adult passengers who survived and who died, by class of travel. Survived Yes No First 197 122 Class Second 94 167 Third 151 476 Suppose we randomly select one of the adult passengers who rode on the Titanic. Define event D as getting a person who died and event F as getting a passenger in first class. (a) Find P(FC). (b) Find P(not a passenger in first class and survived). (c) Find P(not a passenger in first class or survived).

Test the pair of events B and A for independence based on the following table. Events A, B, and C are mutually. exclusive. Events D and E are mutually exclusive. D E Totals A 0.09 0.21 0.30 B 0.06 0.14 0.20 C 0.15 0.35 0.50 Totals 0.30 0.70 1.00 Are the events B and A independent? Select the correct answer below and fill in the answer boxes to complete your choice. OA. No, they are not independent because P(BNA)*P(B)P(A). P(BNA)= and P(B)P(A) = OB. No, they are not independent P(BNA)=P(B)P(A). P(BNA)= and P(B)P(A) = OC. Yes, they are independent because P(BOA)*P(B)P(A). P(BNA)= OD. Yes, they are independent because P(BOA)=P(B)P(A). P(BOA)= and P(B)P(A) = and P(B)P(A)=

1. Geno and Smith collaborated in a Math256 Midterm recently and both received 90 out of a possible 100 points. The events, Geno receiving 90 points and Jason receiving 90 points are : d. All of the answer options are correct.b. disjoint events a. independent events c. dependent events 2. In his Fall Math256 class, 40% of the students studied at least 15 hours per week, 30% of the students received a 4.0, and 10% studied at least 15 hours per week and received a 4.0. Find the probability of students who either studied 15 hours per week or received a 4.0? a. 0.4 d0.7 c. 0.1 b. 0.6 3. Two high school seniors find themselves with much time and nothing to do. They decide to devise a computer game in which a cursor moves randomly along the x axis between 0 and 4. The game they play is to stop the cursor at random points between O and 4 without looking at the screen. Such a game results in a uniform distribution over the interval between 0 and 4 and resembles a density curve. The area…