I have 2 years of experience in peer tutoring in mathematics. I also have 2 years of experience working with students through family volunteer events I helped facilitate.
The slope of the tangent line to the graph of $f$ at $(c, f(c))$ is the derivative of $f$ at $c$.
The probability that a randomly chosen person in the Netherlands connects to the Internet immediately upon waking is approximately $.25 .^{10}$ What is the probability that, in a randomly selected sample of five people, two connect to the Internet immediately upon waking? HINT [See Example 2.]
The probability that a randomly chosen citizen-entity of Cygnus is of pension age ${ }^{11}$ is approximately .8. What is the probability that, in a randomly selected sample of four citizen-entities, all of them are of pension age? HINT [See Example 2.]
According to a July, 1999 , article in the New York Times, ${ }^{12}$ venture capitalists had this "rule of thumb": The probability that an Internet start-up company will be a "stock market success" resulting in "spectacular profits for early investors" is .2. If you were a venture capitalist who invested in 10 Internet start-up companies, what was the probability that at least 1 of them would be a stock market success? (Round your answer to four decimal places.)
According to the article cited in Exercise $25,13.5 \%$ of Internet stocks that entered the market in 1999 ended up trading below their initial offering prices. If you were an investor who purchased five Internet stocks at their initial offering prices, what was the probability that at least four of them would end up trading at or above their initial offering price? (Round your answer to four decimal places.)
The following are the duration in minutes of a sample oflong-distance phone calls made within the continental United Statesreported by one long-distance carrier.Time(in Minutes) RelativeFrequency 0 but less than 50.375 but less than 100.2210 but less than 150.1515 but less than 200.1020 but less than 250.0725 but less than 300.0730 or more0.02If 100 calls were sampled, ________ of them would have lasted lessthan 5 minutes or at least 30 minutes ormore. A)37 B)39C)35 D) None of the above.
The average amount of salt consumed per day by Americans is 15grams. Suppose that of the amount of salt intake per day can beapproximated as a normal distribution, with standard deviation of 5grams. Thus, if X is the amount of salt consumed by an Americanindividual, X~N(15,5). It is deemed harmful to consume more than 5 grams of salt perday. Determine the fraction of Americans consuming too muchsalt (or, more than 5 grams per day). That is, find the marked areain Figure 2. You can write down the Excel formula (plus parameters)that you would use to compute the probability.
The probability that an automobile battery has a defectiveterminal is .06, "! the probability that it has a defective plateis .04, and the probability that it has both a defective terminaland a defective plate is .03. What is the probability that:a) a battery has exactly one defect ?b) a battery has neither of these defects?c) a battery has at most one defect ? d) a battery has exactly one defect, given that it has atmost one defect ?
(Probability Distributions) The director ofadmissions at Mohawk College estimated the distribution of studentadmissions for the Fall semester for their School of Health on thebasis of past experience. What is the standard deviation ofthe admissions for the Fall semester? Round your answer to thenearest whole person.Admissions (100s)Probability13.5020.4042.08105.02
1. Which of the following two statementsare correct?a. A statistically significant result is always practicallysignificantb. A result that is not statistically significant is never ofpractical significancec. It is possible that a statistically significant result is notof practical significanced. It is possible that a result that is not statisticallysignificant is of practical significance.2. A hypothesis test with a statistically significantresult indicates that the alternative hypothesis is correct.a. Trueb. False
Given that mean time between failure data is normallydistributed we find that car batteries last on average 4.5 years(54 months), with a standard deviation of 4months. What is the probability that we sample a single batteryat random that lasts fewer than 47 months?
