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Question: There are n voters in an upcoming election in a certain country, where n is a large, even number. There are two candidates: Candidate A (from the Unite Party) and Candidate B (from the Untie Party). Let X be the number of people who vote for Candidate A. Suppose that each voter chooses randomly whom to vote for, independently and with equal probabilities.
(a) Find an exact expression for the probability of a tie in the election (so the candidates end up with the same number of votes).
(b) Use Stirling's approximation, which approximates the factorial function as
n! ≈ √(2Πn) (n/e)n
to find a simple approximation to the probability of a tie. Your answer should be of the form 1/√(cn) , with c a constant (which you should specify).
Suppose the author plans to continue submitting papers to the journal indefinitely until one is accepted. What is the probability that at least one paper will eventually be accepted by the journal?
using data collected from the fbi the number of registered automatic weapons and the murder rate were obtained for
The following regression line shows how the monthly return for the mutual fund TWCUX (Twentieth Century Ultra Fund) is mathematically related to the S&P500 monthly return.
What is the probability of this actually happening?
Determine the plan using Handbook H-108 if the time to failure is exponentially distributed. Items that fail during the test are not replaced.
the probability distribution of x the number of imperfections per 10 meters of a synthetic fabric in continuous rolls
30% of the time the wife is listening to the radio. Find the probability that:a. If the wife is listening to the radio, the husband is also listening to the radio.
a random sample of 16 students from the student body of a large university had an average age of 25 years and a sample
If nine managers who recently changed jobs are randomly chosen, what is the probability that Three changed for intellectual challenges.
Using excel, construct a 90% confidence interval for the proportion of musicians who began playing while in elementary school.
After the education program, 58 of the physicians in the control group prescribed the analgesic and 42 in the education group. Test for no difference in the proportion prescribing the analgesic at the α = .05 level.
How would you describe American Indian policy after the Civil War? What, do you think, was the purpose of this policy?
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