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Two fair dice are rolled. Let's define the following events:
A = {The English words for the numbers rolled start with the same letter.} ,
B = {The English words for the numbers rolled have the same number of letters.} .
(a) Find the probabilities P(A) and P(B). [Hint: first define events A and B explic- itly, as a list of all outcomes in an event.]
(b) Find the probabilities P (A ? B) and P (A ? B). [Hint: first define events A ? B and A ? B explicitly, as a list of all outcomes in an event.]
(c) Find the probability P(A|B).
(d) Are events A and B independent? Why?
Does lovastatin (a cholesterol-lowing drug) reduce the risk of heart attack? In a Texas study, researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age 58). After 5 years, 57 of the lovastatin group had s..
Ohio Company provided the following information regarding its only product--ice skates.
Find the density for Z = X + Y. Verify that it integrates to 1. Find the median (the value of z for which P(Z =
Their probabilities for success on a single play are p for A and q for B, and successive plays are independent. Determine the probablity that A wins the contest given A plays first.
A haulage contractor has two loads to deliver to separate customers. He has 4 trailers of which 2 are new. If the trailers are randomly chosen for any particular delivery: (a) In how many ways can the trailers be allocated the deliveries?
A crossover trial is planned to evaluate the impact of an educational intervention program to reduce alcohol consumption in patients determined to be at risk for alcohol problems
discovering statistics referring to the information from my first question as stated nielson media research reported
The historical reports from two major networks showed that the mean number of commercials aired during prime time was equal for both networks last year.
What is the expected number of crimes that will be solved? What is the standard deviation?
His sample size was 50,000. His method worked better than the Digest"s method. He predicted the correct winner, but was still off by 6 percentage points. How did he predict the Digest prediction so well?
A researcher predicts that the percentage of people who do no watch TV is higher now than before the advent of the Internet. Let the p1 denote the population proportion of American adults in 1975 who reported watching no TV. Let p2 denote the corresp..
If the top 15% of the test scores are usually good enough for admission to law school, find the cut off score for gaining admission.
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