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Question: The time (in minutes) between telephone calls at an insurance claims office has the following exponential probability distribution.
f(x) = .50e-.50x for x ≥ 0
a. What is the mean time between telephone calls?
b. What is the probability of having 30 seconds or less between telephone calls?
c. What is the probability of having I minute or less between telephone calls?
d. What is the probability of having 5 or more minutes without a telephone call?
Let p be a nonzero polynomial with nonnegative coefficients, ? ⊂ C a bounded open region, ?¯ its closure, and f: ?¯ → C a continuous function analytic on ?. Prove that the function p(|f(z)|) achieves a maximum on the boundary ∂?. Find the number ..
Plot a linear graph which confirms that the relationship is exponential - Find the values of A and K and calculate the charge Q (area under the graph) between the limits t=0 and t=6 seconds. Use calculus trapezoidal rule.
For the weak static replication of a discrete barrier option, approximately how many price evaluations will be required if N options are used per barrier time and there are n barrier times? How many will be required for the auxiliary variable repl..
A production manager is faced with the question of how to allocate the manufacturing of a microwave oven between his own company and a subcontractor, because neither firm can handle the demand alone.
A plastic sphere floats in water with 50.0 percent of its volume submerged. This same sphere floats in glycerin with 40.0 percent of its volume submerged. Determine the densities of the glycerin and the sphere.
How do we distinguish relations from functions? Reduce the following Boolean product to zero OR a fundamental product: xyx'z.c Write the dual of the following Boolean equation: a+a'b = a+b.
You have a friend who amortises a Loan of $250,000 mortgage for 30 years for a new property, obtained at the rate of 6.0% compounded monthly. Find: The monthly payment, The interest in the first payment and The principal repaid in the first payment
An option pays f (St2/St1) for some reasonable function f. Show that there is a unique arbitrage-free price for f and write down an expression for it.
Riley's produces two grades of ice cream-creamy and premium. Both are produced by blending two types of dairy mixes. Both dairy mixes contain different amounts of butter fat and skim milk. Their cost per gallon varies accordingly
Let k ≥ 32 be a positive integer, and let n =. Consider the k x n binary matrix G whose columns are all the binary vectors of length k and hamming weight 3. Let C be the (n, k, d) binary linear code generated by G. What is the minimum distance d of..
A bank has received a request from its client for a forward quote on USD/AUD, the current spot rate is 1.1647. Assuming the 3 month USA benchmark rate is 0.24% and in Australia is 2.0%, calculate the forward swap point.
Four branches of a company are located at M,N,O, and P. M is north of N at a distance of 4 km; P is south of O at a distance of 2 km; N is southeast of O by 1 km. What is the distance between M and P in km?
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