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A team of scientists is due to spend six months in Antarctica carrying out research. One major piece of equipment they will be taking is subject to breakdowns caused by the sudden failure of a particular component. Because a failed component cannot be repaired the team intend to carry a stock of spare units of the component, but it will cost them roughly $3000 for each spare unit they take with them.
However, if the equipment breaks down and a spare is not available a new unit will have to be specially flown in and the team will incur a total cost of $4000 for each unit that is delivered in his way. An engineer who will be traveling with the team has estimated that the number of spares that will be required during the six months follows the probability distribution shown below:
No. of spares required
0
1
2
3
Probability
0.2
0.3
0.4
0.1
Determine the number of spares that the team should carry if their objective is to minimize expected costs.
Fuel Consumption and Cars Electric and plug-in electric cars are designed to save gasoline and help the environment.
The file Online contains a random sample of 48 customers who made purchases last quarter from an online retailer.
He is interested in determining if there is a relationship between the scores of the two tests.
A New York Times article on public opinion about steroid use in baseball discussed the results of a sample survey. The survey found that 34% of adults.
Literacy rates Do males have higher average literacy rates than females in Islamic countries? The table below shows the percent of men and women.
If four different children each play independently with a new toy for at least 25 minutes, then the toy is immediately brought to market. What is the probability of this happening for a newly designed toy?
The probability of a twenty-year-old man living to age seventy is .74, and the probability of a twenty-year-old woman living to the same age is .82.
Compare the types of cars sold in 1985, 2000, and 2007 as shown in the figure. (Source: 2009 World Almanac and Book of Facts)
Of the 250 students in a blind taste test, 150 (60%) preferred Milwaukee's Best over Natural Light. Then the 90% confidence interval for the student population proportion preferring Milwaukee's Best is:
a nonprofit company concerned with the school dropout rate in a nearby state has designed a tutoring program aimed at
if you want to be 95 confident of estimating the population proportion to within a sampling error of plus or minus 0.05
Create a two-way table to summarize these data. Notice that the two variables are categorical, as can be seen from the raw data.
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