1.5.21. When does equality hold in the triangle inequality? State your answer using the words "if and only if", and justify it.
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Q: Q4// Define with proof Chebychev Inequality
A: Definition:
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Q: Define with proof Chebychev Inequality
A: Introduction: Suppose X is an integrable random variable with probability density function, f (x),…
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- Mean = 63.6 PDF = 45 SD = 18.8 Find the Chebyshev’s inequalityA random sample of 10 temperatures in degrees Fahrenheit (°F) were drawn from April in Portland, OR. The data is shown below. Round your answer to 4 decimal places. Use technology, do not calculate the values by hand. Temperatue 78.6 66.2 58.6 80.7 80.7 80.7 59.4 67.2 40.5 64.8 According to Chebyshev's Inequality: At least what % of temperatures will fall between 52.1029°F and 83.3771°F?31-Which of the following is the effect of increasing the number of intervals (n) on the calculation result in the Trapezoidal Method? a) The calculation error does not change. B) The calculation error first increases and then decreases. NS) Increases calculation error. D) The calculation error is reduced. TO) Calculation error first decreases, then increases.
- A certain basketball team makes 70% of its free throws on average. In a game where the team shoots 40 free throws. what is the approximate probabillity that the number of free throws made by the team wilbe at least 25%This is Napier's InequalityIt is a common belief that the population mean body temperature is 98.6◦F. A random sample of 106 healthy adults have a mean body temperature of x = 98.20◦F and s = 0.62◦F. (a) Write the null hypothesis and alternative hypothesis using the proper notation symbols and the correct inequality <, ̸=, or > symbols. (b) Use technology to find the p-value. (c) Is the p-value smaller than 0.05? (d) Do the data reject the null hypothesis or fail to reject the null hypothesis? (e) Is there sufficient evidence to warrant rejection or support the original claim?
- The following problem is that of discrete mathematics. Determine whether the statement is true or false. Justify your answer with a proof or a counterexample, as appropriate. The difference of any two odd integers is even.A Type II error would be (rejecting|failing to reject) the hypothesis that u is (less than|less than or equal to|greater than|greater than or equal to|not equal to|equal to) (142|20|136) when, in fact, u is (equal to 20|equal to 136|equal to 142|not equal to 143|less than 20|greater than 136)I have the following triangle inequality proof, I just dont understand any part of it so if able please explain it in more detail.
