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It is known that the probability p of tossing heads on an unbalanced coin is either 1/4 or 3/4. The coin is tossed twice and a value for Y , the number of heads, is observed. For each possible value of Y , which of the two values for p (1/4 or 3/4) maximizes the probability that Y = y? Depending on the value of y actually observed, what is the MLE of p?
You are using a significance level of α = 0.05 to test a claim that p > 0.5. Your sample is a simple random sample of size n = 49. Calculate β for the test, assuming that the true population proportion is 0.7 and showing all work.
A student takes the campus shuttle bus to reach the classroom building. The shuttle bus arrives at his stop every 15 minutes but the actual arrival time at the stop is random. The student allows 10 minutes waiting time for the shuttle in his plan ..
a clinical trial was conducted to test the effectiveness of the drug zipiclone for treating insomnia in older subjects.
Thirty percent of the tourists went to both Beijing and Xi'an. What is the probability that a tourist visited at least one of these places?
a company sells lamps of which 15 are defective.a what is the probability that in a box of 14 lamps there will be at
assume that the population proportion of all business professionals who select an airline based on price is 0.25. a
Standard deviation is 250 pounds. if you pull a weight of at least 4200 pounds with this tow chain, what percentage of time would you expect the chain to break.
a common method for detecting a signal in the prescence of noise is to establish a threshold level and compare the
question samples of n 5 units are taken from a process every hour. the xoline and r values for a particular quality
If we wanted to shorten the interval of the estimation of the true mean of Saturday sales to a width of $600 in total, what should the size of our sample be to achieve it?
Cards are drawn at random from an ordinary deck of 52 cards, one- by-one without replacement. What is the probability that no heart is drawn before the ace of spades is drawn?
a gym knows that each member on average spends 70 minutes at the gym per week with a standard deviation of 20 minutes.
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