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Please respond to the following questions and provide reference if possible. Thank you.
a) What is a prime number, and why are prime numbers important?
b) What do you call a number that is not prime?
c) What is the largest prime number ever found?
d) Is the number 294,822,345,711 prime? How about 173,658,965? How can you tell without looking it up in someone else's table?
Genetics of peas. According to genetic theory, the blossom colour in the second generation of the certain cross of sweet peas should be red or white in a 3:1 ratio. That is, each plant has probability 3/4 of having red blossoms, and the blossom co..
Dr. Justin Case wants to explore whether or not students perform better if they cram for a test (massed practice) or if they space their studying over weeks (distributed practice).
A special test is given to people complaining of sever headaches. if someone has a brain tumor, the test is positive with a probability of .8 (80%).
The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 11. If 121 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the sample standard deviation is 15. Conduct the following test of hypothesis using the .03 significance level.
At some vacation destinations, "all-inclusive" resorts allow you to pay a flat rate and then eat and drink as much as you want. There has been concern about whether these deals might lead to excessive consumption of alcohol by young adults on spri..
Create a research question for which the appropriate test of the statistical hypothesis would require the use of a z-score.
Using 5% level of significance, is there any difference in proportion of guests who would select the two resorts? What is your conclusion?
Assume 41% of all American adults have some college education. American adult is randomly selected. Determine the probability that adult owns stock or has some college education?
Whole Foods needs at least 1,000 units of beets. The Ames supplier can supply at least 400 units and the Zearing supplier can supply no more than 900 units. Develop constraints for these conditions.
As part of its testing program, LongLast tests a sample of 25 batteries. What is the standard error of the mean?
A survey of licensed drivers inquired about running red lights. One question asked, "Of every ten motorists who run a red light, about how many do you think will be caught?"
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