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Military radar and missile detection systems are designed to warn a country of enemy attacks. A reliability question deals with the ability of the detection system to identify an attack and issue a warning. Assume that a particular detection system has a 0.90 probability of detecting a missile attack. Answer the following questions using the binomial probability distribution.
a) what is the probability that 1 detection system will detect an attackb) if 2 detection systems are installed in the same area and operate independently, what is the probability that at least 1 of the systems will detect the attackc) if 3 systems are installed, what is the probability that at least 1 of the systems will detect an attack?d) Would you recommend that multiple detection systems be operated? Explain
An article in Baltimore Sun claimed that the typical supermarket trip takes a mean of 22 minutes. Suppose that in an effort to test this claim, you select a sample of 50 shoppers at a Baltimore City Giant.
Determine the probability that she lives in an all electric home?
Compute average daily rainfall in the week and for weekends. Get the average of weekdays' rainfalls and average of weekend's rainfalls.
Explain the concept of "Regression Analysis", its types (3 types at least), applications and usefulness. Provide real application of its usage.
Effectiveness White flies are devastating California crops. An area infested with white flies is to be sprayed with a chemical which is known to be 98% effective for each application.
A random sample of 225 fathers from Littleton, yielded 97 who did not help with child care. Using a .05 level of significance test the claim that the proportion is at least 34%.
Researchers at the Cornell University Food and Brand Lab conducted an experiment at a fitness camp for adolescents (Wansink & van Ittersum, 2003).
Graph the information using a histogram and a scatter plot in Excel as well. How does seeing the information in a graphical format provide more information?
The data collected was for each car for each type of fuel. Performance was measured in miles per gallon. Perform an ANOVA test and state the results.
Test the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as n = 25, x = 24.4 years, and s = 9.2 years. Use a significance level of α = 0.05.
Five children under twelve are selected at random. The probability that the average number of hours that they spend each week watching television is at least 30 is about?
Find out sample correlation coefficients of (I) age with dry weight, and (2) age with log 10 dry weight. Interpret your results.
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