Exam 6: Probability

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

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Condo Sales and Interest Rates ​ The probability that condo sales will increase in the next 6 months is estimated to be 0.30.The probability that the interest rates on condo loans will go up in the same period is estimated to be 0.75.The probability that condo sales or interest rates will go up during the next 6 months is estimated to be 0.90. ​ ​ -{Condo Sales and Interest Rates Narrative} What is the probability that neither condo sales nor interest rates will increase during the next six months?

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A posterior probability value is a prior probability value that has been:

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Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks.  Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks.   ​ ​ -{Hobby Shop Sales Narrative} What approach would you use in determining the probabilities for next week's sales? Assign probabilities to the outcomes. ​ ​ -{Hobby Shop Sales Narrative} What approach would you use in determining the probabilities for next week's sales? Assign probabilities to the outcomes.

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Messenger Service ​ Three messenger services deliver to a small town in Oregon.Service A has 60% of all the scheduled deliveries,service B has 30%,and service C has the remaining 10%.Their on-time rates are 80%,60%,and 40% respectively.Define event O as a service delivers a package on time. ​ ​ -{Messenger Service Narrative} Calculate P(A and O).

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Which of the following is equivalent to P(A|B)?

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If A and B are disjoint events with P(A)= 0.70,then P(B):

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GPA and Class A college professor classifies his students according to their grade point average (GPA)and their class rank.GPA is on a 0.0-4.0 scale,and class rank is defined as the under class (freshmen and sophomores)and the upper class (juniors and seniors).One student is selected at random.  GPA and Class  A college professor classifies his students according to their grade point average (GPA)and their class rank.GPA is on a 0.0-4.0 scale,and class rank is defined as the under class (freshmen and sophomores)and the upper class (juniors and seniors).One student is selected at random.   ​ ​ -{GPA and Class Narrative} What is the probability that the student is in the upper class? ​ ​ -{GPA and Class Narrative} What is the probability that the student is in the upper class?

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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  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} What proportion of accidents involved alcohol or a single vehicle? ​ ​ -{Drunk Drivers Narrative} What proportion of accidents involved alcohol or a single vehicle?

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GPA and Class A college professor classifies his students according to their grade point average (GPA)and their class rank.GPA is on a 0.0-4.0 scale,and class rank is defined as the under class (freshmen and sophomores)and the upper class (juniors and seniors).One student is selected at random.  GPA and Class  A college professor classifies his students according to their grade point average (GPA)and their class rank.GPA is on a 0.0-4.0 scale,and class rank is defined as the under class (freshmen and sophomores)and the upper class (juniors and seniors).One student is selected at random.   ​ ​ -{GPA and Class Narrative} What is the probability that the student is in the lower class and has GPA over 3.0? ​ ​ -{GPA and Class Narrative} What is the probability that the student is in the lower class and has GPA over 3.0?

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Marital Status An insurance company has collected the following data on the gender and marital status of 570 customers. Marital Status An insurance company has collected the following data on the gender and marital status of 570 customers.   suppose that a customer is selected at random. -{Marital Status Narrative} Is marital status independent of gender? Explain using probabilities. suppose that a customer is selected at random. -{Marital Status Narrative} Is marital status independent of gender? Explain using probabilities.

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A sample space of an experiment consists of the following outcomes: 1,2,3,4,and 5.Which of the following is a simple event?

(Multiple Choice)
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College Professorship ​ A Ph.D.graduate has applied for a job with two colleges: A and B.The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B.If she receives an offer from college B,she believes that she has an 80% chance of receiving an offer from college A.Let A = receiving an offer from college A,and let B = receiving an offer from college B. ​ ​ -{College Professorship Narrative} If she receives an offer from college B,what is the probability that she will not receive an offer from college A?

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If two events are mutually exclusive and collectively exhaustive,what is the probability that both occur?

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Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks.  Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks.   ​ ​ -{Hobby Shop Sales Narrative} Define the random experiment of interest to the store. ​ ​ -{Hobby Shop Sales Narrative} Define the random experiment of interest to the store.

(Essay)
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There are three approaches to determining the probability that an outcome will occur: classical,relative frequency,and subjective.For each situation that follows,determine which approach is most appropriate. a.A Russian will win the French Open Tennis Tournament next year. b.The probability of getting any single number on a balanced die is 1/6. c.Based on the past,it's reasonable to assume the average book sales for a certain textbook is 6,500 copies per month.

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The collection of all possible outcomes of an experiment is called:

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Which of the following statements is correct if the events A and B have nonzero probabilities?

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If joint,marginal,and conditional probabilities are available,only joint probabilities can be used to determine whether two events are dependent or independent.

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If A and B are mutually exclusive events,with P(A)= 0.20 and P(B)= 0.30,then the probability that both events will occur simultaneously is:

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