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Exam 6: Probability

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Question 81

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Cysts ​ After researching cysts of a particular type,a doctor learns that out of 10,000 such cysts examined,1,500 are malignant and 8,500 are benign.A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not).The doctor has discovered the same type of cyst in a patient. ​ ​ -{Cysts Narrative} In the absence of any test,what is the probability that the cyst is benign?

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B = Benign...

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Question 82

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If P(A) = 0.65,P(B) = 0.58,and P(A and B) = 0.76,then P(A or B) is:

A) 1.23
B) 0.47
C) 0.18
D) 0.11

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Question 83

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If A and B are mutually exclusive,their joint probability is ____________________.

Cysts ​ After researching cysts of a particular type,a doctor learns that out of 10,000 such cysts examined,1,500 are malignant and 8,500 are benign.A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not).The doctor has discovered the same type of cyst in a patient. ​ ​ -{Cysts Narrative} In the absence of any test,what is the probability that the cyst is malignant?

If two equally likely events A and B are mutually exclusive and collectively exhaustive,what is the probability that event A occurs?

Thomas ____________________ first employed the calculation of conditional probability.

Mutual Fund Price ​ An investor estimates that there is a 75% chance that a particular mutual fund's price will increase to $100 per share over the next three weeks,based on past data. ​ ​ -{Mutual Fund Price Narrative} Which approach was used to produce this figure?

Drunk Drivers Six hundred accidents that occurred on a Saturday night were analyzed.Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.The numbers are shown below: ​ ​ -{Drunk Drivers Narrative} If multiple vehicles were involved,what proportion of accidents involved alcohol?

Which of the following is an approach to assigning probabilities?

A survey of a magazine's subscribers indicates that 50% own a house,80% own a car,and 90% of the homeowners also own a car.What proportion of subscribers: a.own both a car and a house? b.own a car or a house,or both? c.own neither a car nor a house?

If P(A) = 0.25 and P(B) = 0.65,then P(A and B) is:

Cars Suppose X = the number of cars owned by a family in the U.S.The probability distribution of X is shown in the table below. ​ ​ -{Car Narrative}What is the chance that a family owns more than one car?

If events A and B have nonzero probabilities,then they can be both independent and mutually exclusive.

If event A and event B cannot occur at the same time,then A and B are said to be

You think you have a 90% chance of passing your next advanced financial accounting exam.This is an example of subjective approach to probability.

Two events A and B are said to be independent if P(A|B)= P(B|A).

An approach of assigning probabilities which assumes that all outcomes of the experiment are equally likely is referred to as the:

Cysts ​ After researching cysts of a particular type,a doctor learns that out of 10,000 such cysts examined,1,500 are malignant and 8,500 are benign.A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not).The doctor has discovered the same type of cyst in a patient. ​ ​ -{Cysts Narrative} What is the probability that the patient has a malignant cyst if he or she tests negative?

If events A and B are mutually exclusive and collectively exhaustive,what is the probability that event A occurs?

If two events are collectively exhaustive,what is the probability that both occur at the same time?