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consider the functions f(x)=5 and g(x)=5x the value of g(x)-f(x) is


Two coins are tossed.Let H be the number of tails that occur. determine the values of the random variable H


Four coins are tossed. Let Y be the random variable representing the number of tails that occur. Find the values of the random variable Y . Construct a probability distribution.

A company produces three products which are interdependent. These are A, B and C. The flow of inputs and outputs between the products is represented in the table below:


Inputs (in thousands of units)


A B C Final demand


Outputs


(in thousands of units) A


B


C 40


60


80 65


130


65 75


75


25 20


60


80



Required:


i) Derive the technical coefficients matrix (3 marks)


ii) Determine the Leontief’s inverse matrix (12 marks)


iii) Compute the output level for each product if the final demand for product A increased by 2000 units, that of product C decreased by 1,000 units and the final demand for product B remained unchanged. (5 marks)





Suppose the production cost is R1895, labour cost is and equipment renting fee is R 250, determine the number of devices produced



Use the five step process to determine each of the following areas


1. Between z = 0 and z = 2.67


2. Between z = -0.78 and z = -1.95


3. Between 1.27 and z = -2.1


4. To the right of z = 0.33


5. to the Left z = 1.96

A regional hardware chain is interested in estimating the proportion of their customers who own their own

homes. There is some evidence to suggest that the proportion might be around 0.70. Given this, what

sample size is required if they wish a 90 percent confidence level with a margin of error of ± .025?


a)  Consider a consulting firm in a particular city where past records show that on average 6 customers arrive daily to seek consulting services. The demand for consulting services in the firm is distributed according to a Poisson distribution. Calculate the probability of exactly 0, 1, 2 and 3 customers arriving for the consulting services. 



I need operational research answers


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