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Q1) Probability is 1 in 4,000,000 that single auto trip in United States will result in fatality. Over a lifetime, the average U.S. driver takes 50,000 trips.
(a) Determine the probability of fatal accident over a lifetime? Describe your reasoning carefully. Hint: Suppose independent events. Why might the supposition of independence be violated?
(b) Why might driver is tempted not to use a seat belt "just on this trip"?
Q2) Certain airplane has 2 independent alternators to give electrical power. Probability that a given alternator will fail on 1-hour flight is .02. Determine the probability that
(a) Both will fail?
(b) Neither will fail?
(c) One or the other will fail? Illustrate all steps carefully.
Does the normal distribution yield a good approximation of the actual results?
The standard deviation of the time to complete the entire homework assignment
Compute the probability of exactly 0,1,2,3,4, and 5 arrivals per day.
Find out a 95% confidence interval for the proportion p of adults who have a great deal of trust and confidence in the executive branch of government.
Create the indicated confidence interval for population mean µ using a t- distribution.
Explain in words general pattern of correlation is statistically important.
Would the null hypothesis be accepted or rejected in this case?
An independent researcher has decided to study variations in TV viewing habits among three American cities. She has managed to randomly sample households in Chicago, Atlanta, and Minneapolis and gather data on the daily "on" times for households o..
Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time.
Then use ogive to estimate median and first and third quartiles. Also utilize it to reply following question: What percent of 60 mutual fund loads are less than 75.
Develop an appropriate forecast model for the given problem whereas the student population has remained constant during this period.
Select a random variable to represent the category. Produce a probability mass function for that variable, and use it to compute the mean, the median and the variance of the data in the data set. Show the probability mass function, both in tabular..
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