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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
College students are a major target for advertisements for credit cards. At a university, 65% of students surveyed said they had opened a new credit card account within the past year.
A cereal manufacturer sells boxes of cereal that list the weight as 19 oz. A random sample of 60 boxes was taken, with the contents carefully weighed.
What is the probability that a sample mean will be within plus-or-minus two of the population mean for each of the following sample sizes?
Two researchers are both interested in the relationship between caffeine consumption and activity level for elementary school children. Each obtains a sample of n = 20 children.
A study was conducted with 35 people that resulted in a mean of 22.1 minutes with a standard deviation of 1.9 minutes. Using a .05 significance level, test the claim that the mean amount of time relief will be felt is less than 25 minutes.
Find out the coefficient of determination, r 2 , and interpret its meaning.
If a new graduate is given a bunch of flowers from this outlet, what is the probability that the flowers were purchased by their partner or friend?
if i have been approved for a $70,000 loan toward the purchase of a new home at 12% interest. The mortgage is for 30 years. How much are the approximately annual payments of the loan? Hint: Assume you pay yearly.
If a statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 53.0 minutes what is the probability that a given class period runs greater than 51.25 minutes.
Calculate appropriate summary statistics. Incorporate these graphs and statistics into a well written summary. How could you apply statistical critical thinking in this situation?
Use Hypothesis Testing and the data in the course materials folder to analyze the difference in milk production in California. Formulate both a numerical and verbal hypothesis statement regarding your research issue.
A produce manager wants to estimate the mean size of coke bottle fills with 95 percent confidence. A preliminary sample of 12 bottles shows a sample standard deviation of 3 mil, and mean of 500.
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