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The U.S. National Highway Traffic Safety Administration gathers data concerning the causes of highway crashes where at least one fatality has occurred. The following probabilities were determined from the 1998 annual study (BAC is blood-alcohol content).
P(BAC = 0 0 Crash with fatality) = .616
P(BAC is between .01 and .09 0 Crash with fatality) = .300
P(BAC is greater than .09 0 Crash with fatality) = .084
Over a certain stretch of highway during a 1-year period, suppose the probability of being involved in a crash that results in at least one fatality is .01. It has been estimated that 12% of the drivers on this highway drive while their BAC is greater than .09. Determine the probability of a crash with at least one fatality if a driver drives while legally intoxicated (BAC greater than .09).
If the probability of getting caught copying someone else's exam is .1, find the probability of not getting caught in three attempts. Assume independence.
Determine relative frequency of X=4? Generate the cumulative frequencies.
The McBurger restaurant chain claims that the waiting time of customers for service is normally distributed with a mean of 3 minutes and a standard deviation of 1 minute.
The counts in the five groups are 113, 95, 108, 99, and 85, respectively. The probabilities for these five intervals are all the same. What is this probability?
Assume that you have a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is.
From Company B, 850 stereos are purchased and 6% are found to be defective. Given that a stereo is defective, find the probability that it came from Company A.
A doctor prescribed the drug penicillin to three different patients as a form oLtreatment for an infectious disease. It is known from the general population that 20 out of every 100 individuals are allergic to the drug.
The state of Texas college admission board has set a standard for automatic acceptances to any university at top 10% of any graduating class will be allowed to attend any university in the state.
The distribution of 9 ounce bags of a particular bag of potato chips is approximately Normal with a mean of 9.12 ounces and a standard deviation of 0.15 ounces.
Let X 1 , X 2 , X 3 , X 4 be a random sample from a Poisson distribution with parameter λ and let Y = X 1 + X 2 + X 3 + X 4 . You decide to test λ = 1.60 versus λ
Is there sufficient evidence to conclude that the true standard deviation σ of the fill measurements of 16-ounce cans is less than 0.1 ounce? Calculate the 95% confidence interval for the population mean.
The selection is made at random so that the selection of any component is equally likely. What is the probability of drawing any faulty component if 3 different components are drawn?
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