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"A metropolitan school system consists of three school districts-norths, south, central. The north district contains 25% of all students, the south district contains 40%, and the central district contains 35%. A minimum-competency test was given to all students; 10 % of the north district students failed, 15% of the south district students failed, and 5% of the central district students failed.
a) Develop a probability tree showing all marginal, conditional, and joint probabilities.
b) Develop a joint probability table.
c) What is the probability that a student selected at random failed the test?
During recent seasons, Major League Baseball has been criticized for the length of the games. A report indicated that the average game lasts 3 hours and 30 minutes.
Defective calculator is 10%. If 10 calculators are selected at random, what is the probability that 4 or more of the calculators will be defective?
An economic researcher would like to know whether he can reject the null hypothesis at the 0.10 level, that no more than 20% of the households in Pennsylvania make more than $70,000 per year.
The manager of the greeting card section of Mazey's department store is considering her order for a particular line of Christmas Cards. Develop the payoff table for this decision situations.
Which of the following events are disjoint and What proportion of the females rated their intelligence less than 7.
In previous tests, baseballs were dropped 24ft onto a concrete surface, and they bounced an average of 92.84% in. In a test of a sample of 40 new balls, the bounce had a mean of 92.67 in.
What is the p value? Describe the steps in formal hypothesis testing. Make at least one comment for each step.
Angela works as a quality supervisor. She has uncovered a quality issue with safety brackets on baby swings. Angela determines that 21% of the safety brackets are out of spec.
He argues that the regression effect says people who perform very poorly in their previous job tend to perform well in their next job. Is this what the regression effect says? Explain.
Those who have quit smoking often return to the habit. The authors of a paper concluded that forbidding smoking in the smoker's residence was a significant predictor of the ability to abstain from smoking.
To decrease the amount of time it takes to deliver packages, a delivery company purchased computer software that finds the optimal route for making deliveries based upon the input of the package destinations.
Albert Einstein stated, "The formulation of a problem is far more often essential than its solution, which may be merely a matter of mathematical or experimental skill.
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