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Chebyshev's inequality and SD of a combined list.
1) Suppose that a BART ride from Berkeley to San Francisco takes a mean time of 38 minutes with a standard deviation of 4 minutes. If you want to make the claim "At least 90% of BART rides from Berkeley to San Francisco take between _______ and _________ minutes", what numbers should be used to fill in the blanks?
2) A list of transactions contains 100 numbers: 60 gains and 40 losses. The gains are positive numbers and the the losses are negative numbers. The units are thousands of dollars. For the 60 gains, the average is 18 and the SD is 7.5. For the losses the average is -20 and the SD is 9.2.
a) Find the average of the 100 transactions (answ: avg=2.8)
b) Find the SD of the 100 transactions. (answ: SD=20.35)
Subscribe to Cool Teen and 35% subscribe to neither magazine, what is the probability that a randomly selected teenager subscribes to both magazines?
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messages arrive at an interactive message center according to a counting process with the average inter-arrival time of
a truefalse pop quiz contains seven questions. what is the probability that when guessing a student will get at least
The first 16 samples were each chosen from 400 items, and the remaining 9 samples were each chosen from 300 items. Determine whether the employee's performance can be judged stable. Comment on the capability of the employee.
Determine whether the following situations represent a right, left or two-tailed test: In 1997, 43% of Americans 18 years or older participated in some form of charity work.
Your bank sends you a summary statement, giving the average amount of all checks you wrote during the month.- Using this and the information provided by the bank, can you figure out the amounts of the two missing checks?
The level of nitrogen oxides measured in grams per mile in the exhaust of cars of a particular model follows a normal distribution: X~N (0.25, 0.05). Government regulations call for NOx emissions to be no higher than 0.3g/mi. Suppose that a sample..
a researcher wanted to know if students who do not plan to apply for financial aid had more variability in sat math
A professor gives a test consisting of six multiple choice questions, each offering four answers from which to choose.
The average could be a poor estimate of the spending of all teenagers given that only teenagers in malls were sampled.
Imagine that you are trapped in a circular room with three doors symmetrically placed around the perimeter.- What is the average time for escape to the outside?
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