Module 2 Test
Determine whether the events are mutually exclusive: If a person is selected at random, decide if the events A and B are mutually exclusive or not mutually exclusive. A: Their birthday is in the fall. B: Their birthday is in October. a) not mutually exclusive b) mutually exclusive
a)
Find the indicated probability: A survey revealed that 31% of people are entertained by reading books, 39% are entertained by watching TV, and 30% are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV? a) 0.40 b) 0.70 c) 0.30 d) 0.22 e) 1
a)
Find the indicated probability: Empirical evidence suggests that 25% of Florida drivers are uninsured. If four random Florida drivers are involved in an accident, what is the probability that more than one of them are uninsured? a) 0.26 b) 0.05 c) 0.21 d) 0.25 e) 0.06
a)
Select the most appropriate response: Two events are independent if when one occurs: a) The probability of the other occurring is unchanged. b) The other event will always occur. c) The other will never occur. d) The probability of the other occurring is changed.
a)
True or False: A probability cannot be negative or greater than 1. a) True b) False
a)
Classify the variable as discrete or continuous: The number of phone calls to the attendance office of a high school on any given school day. a) continuous b) discrete
b)
Classify the variable as discrete or continuous: The temperature in degrees Fahrenheit on July 4th in Juneau, Alaska. a) continuous b) discrete
b)
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students over the course of one hour is: a) 1/9 b) 2/27 c) 25/27 d) -10/27
b)
Find the indicated probability. A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a black card. a) 15/26 b) 7/13 c) 4/13 d) 29/52
b)
Find the indicated probability. Applicants for a job first submit a written application. Based on the written applications, 40% of the applicants are invited for a first interview. Of those that have a first interview, 58% are rejected after the interview. What is the probability that a randomly selected applicant receives a first interview and is rejected after the interview? a) 0.748 b) 0.232 c) 0.58 d) 0.98 e) 0.168
b)
Find the indicated probability. It has been estimated that 40% of marriages end in divorce. If you randomly select 9 recently married couples what is the probability that at least one of the marriages will end in divorce? a) 0.0101 b) 0.9899 c) 0.9744 d) 0.1296
b)
Find the indicated probability: A multiple-choice test has five questions with each question having five answers choices. Only one of the choices is correct. You randomly guess the answer to each question. What is the probability that you answer the first two questions correctly? a) 0.02 b) 0.04 c) 0.4 d) 0.2
b)
Find the indicated probability: A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at night on weekends involve an intoxicated driver. If a random sample of 15 singlevehicle traffic fatalities that occur at night on a weekend is selected, find the probability that 11 involve a driver who is intoxicated. a) 0.57 b) 0.22 c) 0.39 d) 0.69 e) 0.71
b)
Find the indicated probability: A survey of senior citizens at a doctor's office shows that 52% take blood pressure-lowering medication, 43% take cholesterol-lowering medication, and 5% take both medications. What is the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication? a) 0.85 b) 0.90 c) 1 d) 0.14 e) 0
b)
Find the indicated probability: The distribution of Master's degrees conferred by a university is listed in the table. (assume that a student majors in only one subject). What is the probability that a randomly selected student with a Master's degree majored in English or Mathematics? Round your answer to three decimal places. a) 0.526 b) 0.474 c) 0.250 d) 0.224
b)
Select the most appropriate response: An event A will occur with probability 0.4. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.20. We may conclude a) that events A and B are independent. b) that events A and B are dependent. c) that either A or B always occurs. d) that events A and B are mutually exclusive.
b)
Select the most appropriate response: The Multiplication Rule says that P(A and B) = P(A) × P(B). What must be true about events A and B for this rule to apply? a) The events must be disjoint. b) The events must be independent. c) The events must be mutually exclusive. d) Two of the above e) All of the above
b)
True or False: If the probability of an event is 1, the event is impossible. a) True b) False
b)
Find the indicated probability: Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, what is the probability that none of them voted in the last election? a) 0.07 b) 0.42 c) 0.58 d) 0.93 e) 0.20
c)
Find the indicated probability: The probability of an individual having Type O blood is 0.45. What is the probability of having a blood type other than O? a) 0.45 b) -0.45 c) 0.55 d) -0.55 e) 0.20
c)
Determine the following proportion. The following table categorizes the students in a first-grade class by age and gender. What proportion of the students are female or less than 6 years old? a) 10/20 b) 12/20 c) 2/20 d) 4/20 e) 8/20
e)
Select the most appropriate response: If the computed probability of an event occurring is 0.01. Which of the following statements is correct? a) The event is likely to occur. b) We would expect the event to occur about one percent of the time c) The event cannot occur. d) All of the above.
c)
Select the most appropriate response: What is the set of all possible outcomes of a probability experiment? a) compliment b) Venn diagram c) sample space d) events
c)
Determine the following proportion: The following table categorizes the students in a first-grade class by age and gender. What proportion of the students are female and less than 6 years old? a) 2/4 b) 6/8 c) 2/20 d) 6/20 e) 8/20
d)
Select the most appropriate response: Two events are dependent if when one occurs: a) The probability of the other occurring is unchanged. b) The other event will always occur. c) The other will never occur. d) The probability of the other occurring is changed.
d)
