MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the special multiplication rule to find the indicated probability. 1) In one large city, 37% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. A) 0.370 B) 0.133 C) 0.137 D) 0.740 Determine whether the events are independent. 2) In a local election, 50.2% of those aged under 40 and 46.1% of those aged over 40 vote in favor of 2) a certain ballot measure. Are age and position on the ballot measure independent? A) Yes B) No 3) When a coin is tossed three times, eight equally likely outcomes are possible. HHH HHT HTH HTT THH THT TTH TTT Let A = event the first two tosses are the same B = event the total number of heads is one. Are A and B independent events? A) Yes 4) When a balanced die is rolled twice, 36 equally likely outcomes are possible. Let A = event the sum of the two rolls is 8 B = event the first roll comes up 3. Are A and B independent events? A) Yes ABC ABD ABE ACD ACE ADE BCD BCE BDE CDE B) No Determine whether the events are mutually exclusive. 5) 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 outcomes can be represented as follows. A = event that Betty and Allison are both selected B = event that more than one man is selected B) No Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on the board. The events A and B are defined as follows. Are the events A and B mutually exclusive? A) Yes 1) B) No 3) 5)please answer/ show work for questions 1 through 5, thank you!
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use the special multiplication rule to find the indicated probability 1 In one large city,37% of all voters are Democrats. If two voters are randomly selected for a survey,find the probability that they are both Democrats. A0.370 B0.133 C0.137 D0.740
1)
Determine whether the events are independent. 2 In a local election, 50.2% of those aged under 40 and 46.1% of those aged over 40 vote in favor of 2) a certain ballot measure. Are age and position on the ballot measure independent? A)Yes FNO
3 When a coin is tossed three times,eight equally likely outcomes are possible
3)
HHH HHT HTH HTT THH THT HIL TTT
Let A=event the first two tosses are the same B=event the total number of heads is one
Are Aand B independent events? A)Yes
ON(B
4When a balanced die is rolled twice,36 equally likely outcomes are possible. Let
1
A=event the sum of the two rolls is8 B=event the first roll comes up 3.
Are A and B independent events? AYes
ON(
Determine whether the events are mutually exclusive 5 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 outcomes can be represented as follows.
5)
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 the board. The events A and B are defined as follows.
A= event that Betty and Allison are both selected B= event that more than one man is selected
Are the events A and B mutually exclusive? A)Yes
BNo
