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Exam 3: Probability

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Question 41

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Owners are asked to evaluate their experiences in buying a new car during the past twelve months.When surveys were analyzed the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): BMW,Honda,and GM. -In a study of car accidents,64% involved neck injuries.If three different car accident records are randomly selected,find the probability that they all involved neck injuries?

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.2621
(.64...

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Question 42

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If an employee is selected at random what is the probability that the employee is a member of the hourly staff given that the employee is female?

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Question 43

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A probability may be interpreted as a long-run _____ frequency.

In a report on high school graduation,it was stated that 85% of high school students graduate.Suppose 3 high school students are randomly selected from different schools. -What is the probability that none of the three students graduate?

Consider the experiment of rolling three dice and observing the number of dots that appear each time.How many outcomes are in the sample space?

The _______ of two events A and B is another event that consists of the sample space outcomes belonging to either event A or event B,or both events A andB

Consider a standard deck of 52 playing cards,a randomly selected card from the deck,and the following events: R = red,B = black,A = ace,N = nine,D = diamond and C = club. For each of the following pair of events,indicated whether the events are mutually exclusive -A and N

Past company records demonstrate that 85% of new hires successfully complete their probation period.Suppose 3 newly hired individuals are randomly selected.If new hires successfully complete their probation period independently of each other,what is the probability that all will complete the probation period?

A batch of 50 parts contains 6 defects.If two parts are drawn randomly,one at a time with replacement,what is the probability that both parts are defective?

Are gender and type of job mutually exclusive? Explain with probabilities.

If an employee is selected at random what is the probability that the employee is male and salaried staff?

A lot contains 12 items,4 of which are defective.If three items are drawn at random from the lot,what is the probability that none of them are defective?

In a large university, 55% of all undergraduates are female, 25% belong to a Greek organization (fraternity or sorority), and 40% of all males belong to a Greek organization. -What is the probability that one randomly selected undergraduate will be either a female or belong to a Greek organization?

P( A $\cup$ B ) = P( A) + P( B) - P( A $\cap$ B ) represents the formula for the

In a local survey,100 citizens indicated their opinions on a revision to a local land use plan.Of the 62 favorable responses,there were 40 males.Of the 38 unfavorable responses,there were 15 males.One citizen is randomly selected. -What is the probability that the citizen has favorable opinion or has an unfavorable opinion?

If P(B) > 0 and events A and B are independent,then:

In a large university, 55% of all undergraduates are female, 25% belong to a Greek organization (fraternity or sorority), and 40% of all males belong to a Greek organization. -What percent of the undergraduates are female and belong to a Greek organization?

The _______ of two events A and B is the event that consists of the sample space outcomes belonging to both event A and event B.

Events that have no sample space outcomes in common,and,therefore cannot occur simultaneously are referred to as independent events.

Container 1 has 8 items,3 of which are defective.Container 2 has 5 items,2 of which are defective.One item is selected at random from each container.What is the probability that both items are not defective?