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Question 1 An experiment succeeds twice as often as it fails. Find the chance that in the next six trials there will be at least four successes
Question 2 An insurance company has discovered that only about 0.1% of the population is involved in a certain type of accident each year. If its 10000 policy holders were randomly selected from the population, what is the probability that not more than 5 of its clients are involved in such an accident next year?
Question 3 Briefly explain Markov chains
Two circles touching internally at O. OXY, OAB straight lines, the latter passing through the centres. Prove that OX : OY = OA : OB. Given : Two circles touching internally a
Integrate following. ∫ -2 2 4x 4 - x 2 + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2 2 4x 4 - x 2 + 1dx = 2∫ o
-6x-4y=-6 x+2y=-3
Three mixtures were prepared with very narrow molar mass distribution polyisoprene samples with molar masses of 8000, 25,000, and 100,000 as indicated below. (a) Equal numbers o
Prove that the Poset has a unique least element Prove that if (A, ) has a least element, then (A,≤) has a unique least element. Ans: Let (A, ≤) be a poset. Suppose the po
What is the exact vale of sin(theta/2) when sintheta=3/5, pi/2
The following relation is not a function. {(6,10) ( -7, 3) (0, 4) (6, -4)} Solution Don't worry regarding where this relation came from. It is only on
How to Multiplying Monomials? To multiply monomials: Step 1: Multiply the coefficients. Step 2: Multiply the like variables by adding their exponents. Step 3: Multiply ans
You plan to retire when you are 65th years old. You are now 25 years old. You plan to buy a pension annuity that will pay you $100,000 per year starting one year after you turn 6
Quotient Rule (f/g)' = (f'g - fg')/g 2 Here, we can do this by using the definition of the derivative or along with Logarithmic Definition. Proof Here we do the pr
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