Test 2
Are the events disjoint? Event 1: Get a full-time day job as a teller with a bank. Event 2: Get a full-time day job as a cashier at a store.
YES
Flip a coin twice. Create the sample space of possible outcomes. A. {HH, HT, TH, TT} B. {HH, HT, TT} C. {HT, TH} D. {HH, TT, HT, HT}
{HH, HT, TH, TT}
How many different ways can the letters of "grammar" be arranged?
7!/2!x2!x2! 630
In a recent year, 304 of the approximately 300,000,000 people in the United States were struck by lightning. Estimate the probability that a randomly selected person in the United States will be struck by lightning this year.
0.00000101
Refer to the table which summarizes the results of testing for a certain disease. If one of the results is randomly selected, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? What does this probability suggest about the accuracy of the test? Positive Test Result Negative Test Result Subject has the disease 111 4 Subject does not have the disease 11 172 A. 0.591; The probability of this error is high so the test is not very accurate. B. 0.0134; The probability of this error is low so the test is fairly accurate. C. 0.0348; The probability of this error is low so the test is fairly accurate. D. 0.0369; The probability of this error is low so the test is fairly accurate
0.0134 The probability of this error is solow so the test is fairly accurate
The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency table below summarizes the results. If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 12 minutes or between 8 and 15 minutes? Round to three decimal places as needed. Waiting Time (minutes) Number of Customers 0-3 9 4-7 10 8-11 12 12-15 4 16-19 4 20-23 2 24-27 2
0.558
Results from a marijuana drug test study showed 143 subjects with positive test results including 24 false positive results. There were 157 negative results, including 3 false negative results. What is the probability that a randomly selected subject did not use marijuana? Round to three decimal places as needed.
0.593
When four basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical order? Assume each player has a different name.
1/4! 1/24
In a small private school, 6 students are randomly selected from 11 available students. What is the probability that they are the six youngest students?
1/462
If radio station call letters must begin with either K or W and must include either two or three additional letters, how many different possibilities are there? There are______ different possibilities
36504
Evaluate the expression. 10P3
720
In a certain town, 10% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?
9:1
A _______ probability of an event is a probability obtained with knowledge that some other event has already occurred.
A conditional probability of an event is a probability obtained with knowledge that someother event has already occurred
Which of the following is NOT a principle of probability? Choose the correct answer below. A. The probability of any event is between 0 and 1 inclusive. B. The probability of an event that is certain to occur is 1. C. The probability of an impossible event is 0. D. All events are equally likely in any probability procedure.
All events are equally likely in any probability rocedure
Complete the following statement. The conditional probability of B given A can be found by _______. Choose the correct answer below. A. multiplying P(A) times P(B) B. adding P(A) and P(B) C. assuming that event B has occurred, and then calculating the probability that event A will occur D. assuming that event A has occurred, and then calculating the probability that event B will occur
Assuming that event A has occurred, and then calculating the probability that event B will occur
When 100 engines are shipped, all of them are free of defects. Select a written description of the complement of the given event. A. At least one of the engines is defective. B. None of the engines are defective. C. At most one of the engines is defective. D. All of the engines are defective.
At least one of the engines is defective
Which of the following statements is not true? A. If the probability of an event occurring is 0, then it is impossible for that event to occur. B. If the probability of an event occurring is 1.5, then it is certain that event will occur. Your answer is correct. C. If P(A)=0, then the probability of the complement of A is 1. D. Probability can never be a negative value.
If the probability of an event occuring is 1,5 then it's certain that event will occur
If you drew one card from a standard deck, would it be "significant" to draw a 5? Answer the question, considering an event to be "significant" if its probability is less than or equal to 0.05. Yes or No
NO
A student wants to simulate 41 birthdays, but she does not have a calculator or software program available, so she makes up 41 numbers between 1 and 365. Is it okay to conduct the simulation this way? Why or why not? Choose the correct answer below. A. No. Simulations must be performed with either a calculator or a statistical program. B. No. People generally favor some numbers over others so that they don't select numbers with a process that is truly random. C. Yes. People are capable of randomly making up numbers between two values. D. Yes. People are better at picking birth dates than computers, since they can base the numbers on the birth dates of people they know.
No people generally favor some numbers over others so that they do not select numbers with a process that is truly random
Of the thirteen different women Calvin asks for a date, at least one of them accepts. Provide a written description of the complement of the given event. A. At most one of the women accepts Calvin's offer. B. All but one woman accepts Calvin's offer. C. None of the women accept Calvin's offer. D. All of the women accept Calvin's offer.
None of the women accept cAlvin's offer
Which of the following is NOT a requirement of the Permutations Rule, nPr=n!/(n−r)!, for items that are all different? Choose the correct answer below. A. There are n different items available. B. Order is taken into account (rearrangements of the same items are considered to be different). C. Order is not taken into account (rearrangements of the same items are considered to be the same).. D. Exactly r of the n items are selected (without replacement)
Order is not taken into account
If the order of the items selected matters, then we have a _______.
PERMUTATION
P(A)+PA = 1 is one way to express the_______.
Rule of complementary events
Select the correct interpretation of the probability of guessing the date of his birth, given that he told you in what month he was born. Interpret an event as significant if its probability is less than or equal to 0.05 Significant or Not significant
Significant
Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time. Select the correct interpretation of the probability of an airplane arriving late. Interpret an event as significant if its probability is less than or equal to 0.05. A. Not significant at 0.964 B. Not significant at 0.036 C. Significant at 0.0036 D. Significant at 0.036
Significant 0.036
Which of the following is NOT a requirement of the Combinations Rule, nCr=n!r!(n−r)!, for items that are all different?
That order is taken into account
Among 9332 cases of heart pacemaker malfunctions, 406 were found to be caused by firmware, which is software programmed into the device. If the firmware is tested in 3 different pacemakers randomly selected from this batch of 9332 and the entire batch is accepted if there are no failures, what is the probability that the firmware in the entire batch will be accepted? Is this procedure likely to result in the entire batch being accepted? The probability is ___________ This procedure is ____________ to result in the entire batch being accepted
The probability is 0.8750.875. This procedure is likely to result in the entire batch being accepted
The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That is, find the probability that the subject lied, given that the test yields a positive result. Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Positive test results 12 44 Negative test results 33
The probability is 0.786
What does P(B|A) represent? Choose the correct answer below. A. The probability of event A and event B both occurring B. The probability of event B occurring after it is assumed that event A has already occurred Your answer is correct. C. The probability of event A or event B or both occurring D. The probability of event A occurring after it is assumed that event B has already occurred
The probability of event B occuring after it is assumed that event A has already occurred
Complete the following statement. P(A or B) indicates _______. Choose the correct answer below. A. the probability that event A occurs in one trial followed by event B in another trial. B. the probability that A and B both occur in the same trial. C. the probability that event A or event B does not occur in a single trial. D. the probability that in a single trial, event A occurs, event B occurs, or they both occur
The probability that in a single trial, event A occurs, event Boccurs, or they both occur
Which of the following is an important business application related to counting? Choose the correct answer below. Traveling Salesman Problem Rule of Rare Events Accounting Issues Arrangement Problem
Traveling Salesman Problem
Events that are _______ cannot occur at the same time
disjoint
The classical approach to probability requires that the outcomes are _______.
equally likely
Two events A and B are _______ if the occurrence of one does not affect the probability of the occurrence of the other.
independent
Are the events disjoint? Event 1: Read a book by Mark Twain. Event 2: Read about Tom Sawyer yes or no
no
The complement of "at least one" is _______.
none
"At least one" is equivalent to _______.
one or more
The _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.
sample space
Fill in the blank. For a sequence of events in which the first event can occur n1 ways, the second event can occur n2 ways, the third event can occur n3 ways, and so on, the events together can occur a total of n1•n2•n3•... ways. This is called _______.
the multiplication counting rule
