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Exam 5: Probability

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Question 41

Multiple Choice

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Regarding the rules of probability,which of the following statements is correct?

A) If A and B are independent events,then P(B) = P(A) P(B) .
B) The sum of two mutually exclusive events is one.
C) The probability of A and its complement will sum to one.
D) If event A occurs,then its complement will also occur.

E) B) and C)
F) All of the above

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Question 42

Multiple Choice

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At Dolon General Hospital,30 percent of the patients have Medicare insurance (M) while 70 percent do not have Medicare insurance (M´) .Twenty percent of the Medicare patients arrive by ambulance,compared with 10 percent of the non-Medicare patients.If a patient arrives by ambulance,what is the probability that the patient has Medicare insurance?

A) 0.7000
B) 0.5000
C) 0.4615
D) 0.1300

E) A) and D)
F) A) and B)

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Question 43

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Probability is the measure of the relative likelihood that an event will occur.

Which best exemplifies the empirical definition of probability?

Given the contingency table shown here,find P(A3 ∩ B2) .

Axolotl,Inc.decided to double the number of independent network file servers,each server being capable of running its entire internal corporate network.Bob suggested that "doubling the number of file servers in our corporate network will just double the chances of failure." Is Bob right? Has the company made an error?

For any event A,the probability of A is always 0 ≤ P(A)≤ 1.

Given the contingency table shown here,find P(A1 ∩ A2) .

The number of unique orders in which five items (A,B,C,D,

A baseball player said,"Yes,I'm in a batting slump.But the law of averages has got to catch up sooner or later.I'm bound to improve." Discuss the logic of this statement.

In a certain city,5 percent of all drivers have expired licenses and 10 percent have an unpaid parking ticket.If these events are independent,what is the probability that a driver has both an expired license and an unpaid parking ticket?

Given the contingency table shown here,find P(V) .

Given the contingency table shown here,find P(V or S) .

If each of two independent file servers has a reliability of 93 percent and either alone can run the website,then the overall website availability is

P(A |B)is the joint probability of events A and B divided by the probability of A.

Given the contingency table shown here,find P(G | M) .

The following table shows the survival experience of 1,000 males who retire at age 65:

Given the contingency table shown here,if a mother attended some college but did not have a degree,what is the probability that she did not smoke during her pregnancy?

The probability of events A or B occurring can be found by summing their probabilities.

If two events are collectively exhaustive,what is the probability that one or the other will occur?