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Is lack of sleep causing traffic fatalities? A study conducted under the auspices of the National Highway Traffic Safety Administration found that the average number of fatal crashes caused by drowsy drivers each year was 1550 (Business Week, January 26, 2004). Assume the annual number of fatal crashes per year is normally distributed with a standard deviation of 300.
a. Determine the probability of fewer than 1000 fatal crashes in a year.
b. Determine the probability the number of fatal crashes will be between 1000 and 2000 for a year.
c. For a year to be in the upper 5% with respect to the number of fatal crashes, determine how many fatal crashes would have to occur.
A population with u=73 and o=9 is transformed into a new population with u=10 and o=2. What is the new value for each of the following scores in the population?
A 1990 census report revealed that the mean distance that U. S. citizens live from their birthplace is 50 miles and that the standard deviation is 15 miles. A random sample of 49 residents of your city yielded a mean distance of 56 miles.
Create the acceptance-rejection technique for creating the geometric random variable, X, with parameter p on range {0, 1, 2, ...}.
The probability of a bulb lasting less than 2300 is .1573. The maximum probability of a bulb lasting less than 2300 hours should be only 5%. What must change specifically? How would that change be obtained practically?
When estimating a population mean with a confidence interval estimate, then E is:
Use PHStat to make a box-whisker plot. If PHSTAT has yet to be installed, calculate Xmin, Xmax, Q 1 , Q 3 and median using equation in Class Notes-Quartiles, Percentile & Dectiles.
Using ANOVA, determine if there is a significant difference in the six year graduation rate by type.
The manager of Sam's Food Mart guarantees that none of his cartons containing a dozen eggs will contain more than one bad egg, despite the fact that 4% of individual eggs are known to be bad. Define the random variable x to be the number of bad eg..
What proportion of the variability in steel shipments for motor vehicles is described by regression equation?
All of these cars are for sale by dealers. Produce a dotplot of the prices and comment on features of the dotplot. Suggest a reasonable asking price for the 2005 Escape. Explain your reasoning.
The ACT is also distributed with meanof 21 and standard deviation of 4.7. Rachel wants to be in the 98th percentile on each test. What scores must she recieve on each exam?
The life expectancy of computer terminals is normally distributed with a mean of 4 years and a standard deviation of 10 months. What is the probability that a randomly selected terminal will last more than 5 years?
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