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Pan usually drives to school. The driving time is between 10 to 20 minutes depending on how many red lights he encounters on the way. There are two traffic lights on his way to school. If he encounters no red lights, the driving time is anywhere between 10 to 15 minutes. If he is stopped by only one red traffic light, it takes him anywhere between 13 to 18 minutes. If he hits two red lights, it takes anywhere between 17 to 20 minutes to get to school. Assume it is equally likely for Pan to encounter no red lights, one red light and two red lights. a) On Monday, Pan was not stopped by any red lights on his drive to school. What is the probability that his drive was between 12 and 14.5 minutes on Monday? b) What is the standard deviation of Pan's driving time on a day in which he encounters two red lights? c) What is the probability the Pan spent less than 15 minutes to drive to school today? d) Knowing it took Pan less than 18 minutes to come to school, what is the probability that he encountered only one red light?
Discuss how the Empirical Rule works and how it relates to the bell curve. Then, explain Chebyshev's Theorem and how it is different from the Empirical Rule.
Estimate the true mean tensile strength of bars of this size and tyoe using 90% confidence interval. List any assumptions you need to make. Given n=150, x(bar)=477N/mm^2, and s=13.
Use both of these facilities regularly. Given that a randomly selected member uses the tennis courts regularly, find the probability that they also use the golf course regularly.
New soft drink is being market tested. A sample of 400 individuals participated in the taste test and 100 indicated that they like the taste. Set up the null and the alternative hypotheses.
Estimate the true proportion of incomplete files for ALL the bank's commercial loans. Write a statement about the confidence level and the interval you find.
A CEO of a large pharmaceutical company would like to determine if he should be placing more money allotted in the budget next year for television advertising of a new drug marketed for controlling asthma.
An artifact is discovered at a certain site. If it has 46% of the carbon-14 it originally contained, what is the approximate age of the artifact to the nearest year?
To test there is significant difference among the mean of income using ANOVA. A developer of real estate is considering investing in a shopping mall on the outskirts of Atlanta, Georgia.
Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides.
Based upon all of this information, do a "goodness-of-fit" test to see if the distributions are the same as they were two years ago. Use a level of confidence of .01. Should we accept Ho or reject Ho?
Give an example of how to use a t-test to analyze the data from the Table of Variables and list the grouping variable and continuous variable that you would include in the analysis
A study on body types gave the following results: 45% were short; 25% were short and overweight; and 24% were tall and not overweight.
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