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To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance. If the customs official selects 3 of the tablets at random for analysis, what is the probability that the traveler will be arrested for illegal possession of narcotics?


It is the probability of rejecting true null hypothesis


Supposed that the IQ scores of students in certain college has a mean of 500. A random sample of 35 students were administered the IQ Test and it was found out that the group mean 555. If the population standard deviation was 100, is the mean of this group differs from the population?


The average time length for students to register for summer classes at a certain college has been 50 minutes ith a standard deviation of 10 minutes. A new registration procedure using modern computing machines is being tested. If a random sample of 12 students had an average registration time of 42 minutes with a standard deviation of 11.9 minutes under the new system. Test the hypothesis that the population mean is now less than 50, using 0.05 level of significance. Assume the population of times to be normal.


If sample space S={e1,e2,e3,e4}, find P(e1 ) and P( e2) if P(e3)=1/3 and P(e2)=3P(e1)

The Car Repair Ratings website provides consumer reviews and ratings for garages in the United States and Canada. The time customers wait for service to be completed is one of the categories rated. The following table provides a summary of the wait-time ratings (1 = Slow/Delays; 10 = Quick/On Time) for 40 randomly selected garages located in the province of Ontario, Canada (Car Repair Ratings website, November 14, 2012) Wait-Time Rating Number of Garages 10 Develop a probability distribution for x = wait-time rating. Any garage that receives a wait-time rating of at least 9 is considered to provide outstand- ing service. Ifa consumer randomly selects one of the 40 garages for their next car service, what is the probability the garage selected will provide outstanding wait-time service?


If sample space S={e1,e2,e3,e4}, find P(e1) if P(e2)=1/5 and P(e3)=1/3

Briefly discuss the four principles for successful moderation.


a file cabinet manufacturer estimates that 5% of its file cabinets will have drawers that close improperly. Assume a probably run of 40 cabinets is completed. a.what is the mean and standard deviation of this distribution? b. what is the probability that 3 or more are defective? c. what is the probability that exactly 3 cabinets are defective? d. what is the probability that there are more than 4 defective file cabinets?


 The probability that it will be sunny tomorrow is 1/3. If it is sunny, the probability that Ali plays badminton is 4/5. If it is not sunny, the probability that Ali plays badminton is 2/5.


a)        Draw a tree diagram to describe about the whole situation                                           

b)        Find the probability that Ali plays badminton tomorrow          


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