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Consider a sequence of Bernoulli trials X1, X2, X3,..., when Xn =1 or 0. Assume Pr{Xn=1 l X1, X2, ..., X(n-1)} >= alpha > 0, n=1,2,...Prove that :a) Pr{Xn =1 for some n} = 1b) Pr{Xn =1 infinitely often} =1
The region R is the base of a solid. For this solid, at each x the cross section perpendicular to the x-axis is semicircle. Find the volume of this solid using a representative shape.
a piano has 88 keys.a piano repair shop has 4 broken pianos in its shop, some with key missing, how many pianos keys are in the shop?
In baseball a player's batting average is the ratio of hits to the number of times he or she has batted. Thus, if the player has an average of .300, it means he or she got 300 hits in 1000 at bats.
A plane is heading due east and climbing at the rate of 120 km/hr. If its airspeed is 530 km/hr and there is a wind blowing 120 km/hr to the northwest, what is the ground speed of the plane?
What is the maximum profit if each item is sold for 10 dollars? (Assume you sell everything you produce.)
A gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the shell is 486 m? (Round the answer to the nearest whole number. g ≈ 9.8 m/s2)
assume that a snowball melts so that its volume decreases at a rate proportional to its surface area. if it takes
How much dinitrogen pentoxide will remain after 30 minutes? How long will it take until 0.01 M of dinitrogen pentoxide remains?
Calculate the Correlation coefficient, Coefficient of determination and SSE, and the Standard Error of Estimate.
write an eqution of a line containing the given point parallel to the given line.express your answer in the form y=mxb.the equation
In recent years the state of california issued license plates using a combination of one letter of hte alphabet followed by three digits, followed by another three letters of the alphabet. How many different license plats can be issued using this ..
Interest and Loan Calculations For thisAssignment you will write an essay to address the requirements described below.Your essay must be carefully planned and written using well-constructedsentences and paragraphs. Make sure that your grammar and sp..
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