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Two players alternate ?ipping a coin that comes up heads with probability p. The ?rst one to obtain a head is declared the winner. We are interested in the probability that the ?rst player to ?ip is the winner. Before determining this probability, which we will call f (p), answer the following questions.
(a) Do you think that f (p) is a monotone function of p? If so, is it increasing or decreasing?
(b) What do you think is the value of limp→1 f (p)?
(c) What do you think is the value of limp→0 f (p)?
(d) Find f (p).
a professor gives tests that are either hard medium or easy. if she gives a hard test her next test will be either
nissan sold three models of cars in north america in 1999 sentras maximas and pathfinders. of the vehicles sold 50 were
Determine the least squares estimators γ and δ for this second model associated to corresponding LS estimators α and β of first model?
Sample mean = $40,000, sample standard deviation =$1500 and n= 25. Assume that the population from which the sample is drawn is normally distributed.
the following information shows the amount of time in minutes that a mechanic on an assembly line misses the design
The following frequency table lists the sales of an item and the number of times it has occurred. It was obtained from historical records.
a box contains four tickets labeled 0136. the chance that the sample sum of the labels on the tickets in three
Each customer has probability p of being a home owner independently of all other customers. Let Y be the number of home owners registered. Show that Y~Poisson.
What will be critical value of chi-square if test is to be performed at 0.025 level? At the 0.05 level?
an oil firm plans to drill 20 wells each having probability 0.2 of striking oil. each well costs 20000 to drill a well
Compute a confidence interval for the difference in population means and assume x is normally distributed in the populations and the variances of the populations are approximately equal.
events a and b are mutually exclusive. suppose event a occurs with probability 0.29 and event b occurs with probability
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