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Question: Consider a binomial experiment with two trials and p = .4.
a. Draw a tree diagram for this experiment (see Figure).
b. Compute the probability of one success, f(I).
c. Compute f(0).
d. Compute f(2).
e. Compute the probability of at least one success.
f. Compute the expected value. variance, and standard diviation.
Formulate a linear programming model of the problem. Describe the optimal solution within the context of the problem.
Trapeze Investments is a venture capital firm that is currently evaluating six different investment opportunities. There is not sufficient capital to invest in all of these, but more than one will be selected.
A florist is planning to make up floral arrangements for the upcoming holiday weekend. He has following supply of flowers in stock this Friday and he cannot get any more.
A hunk of aluminum is completely covered with a gold shell to form an ingot of weight 45.0 N. When you suspend the ingot from a spring balance and submerge the ingot in water, the balance reads 39.0 N. What is the weight of the gold in the shell?
What is the independent variable in this study? What are the dependent variables?
What is forecasting? What information is forecasted at your organization? Which forecasting methods are used at your organization?
For each question involving a statistical test below, list the null and alternate hypothesis statements. Use .05 for your significance level in making your decisions.
Do not reject H0; the percentage of Americans who only use cell phones does differ from 23% Do not reject H0; the percentage of Americans who only use cell phones does not differ from 23%
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?
What must the height h of the tent be, and why? Use your answer to derive a piecewise-linear function defining the probability density function p(x) for the domain x ∈ [0, 1]. Derive a piecewise quadratic cumulative distribution function cdf(x) for..
You will need the parameterization formula for a helix discussed in class. (2) Since you want ten turns of wire, it is convenient to let the range of parameter t be 0
Calculate the circumfrential and longitudinal stresses in the plates when the internal pressure is 800KN/m sq. If the ultimate tensile stress of the material used is 600 MN/m sq, and the efficiency of the longitudinal joint is 70 per cent, determi..
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