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The life span of television sets built by a particular manufacturer is normally distributed, with a mean of 10.2 years and a standard deviation of 1.7 years. The manufacturer will replace a television set if it breaks before the guarantee period is over.
a) If the manufacturer sets the length of the guarantee at 7 years, what proportion of the television sets will the manufacturer have to replace (Sentence)?
b) What is the maximum life span of the bottom 25% of television sets (Sentence)? What is the minimum life span of the top 25% of television sets (Sentence)? What name is given to the difference between these two values?
c) What is the maximum height of the normal distribution defined above? If you wanted to fit this normal distribution over the top of a histogram of a sample of 60 television sets with a class width of 2 years, what scaling factor would you use.
find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will be in terms of h, w, and θ. Use theta for θ.
Write the converse of this statement. Is the converse true. Explain. Write the contrapositive of this statement. Is the converse true. Explain.
Describe how to apply the result (c) to minimizing the cost constructing a power transmission cable tat costs c1 dollars per mile under water and c2 dollars per mile over land.
That is, the next 10 feet will cost $125, the next 10 feet will cost $150,etc. How much will it cost to build a 90-foot tower?
Probability & Statistics : Outcome of Dice Rolls, Two people play a game. A single die is thrown. If the outcome is a 2 or a 3, then player A pays player B $6.00.
Please solve for the following: Find a particular solution to, Solve: A Second Order ODE y'' + 5y' +4y = -13te^(3t)
Create a probability tree showing all marginal, conditional, and joint probabilities.
What is the annual compound interest rate for an investment modeled by the function y=12*1.18x?
If n points are equally spaced on the circumference of a circle, what is the probability that three points chosen at random will form a right triangle?
If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
At East Zone University (EZU) there are 565 students taking College Algebra or Calculus. 327 are taking College Algebra, 266 are taking Calculus, and 28 are taking both College Algebra and Calculus. How many are taking Calculus but not Algebra?
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.
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