Numerade

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For a normal random variable X with mean $\mu$ and standard deviation $\sigma$, which of the following statements is/are true? There may be multiple correct answers. Choose all correct answers. The area between $\mu$ and $\mu + c$ is the same as the area between $\mu$ and $\mu - c$ for any value of $c > 0$. The area between a and b (when $b < a < \mu$) is equal to (area between $\mu$ and b) - (area between $\mu$ and a) The area between a and b (when $\mu < a < b$) is equal to (area between $\mu$ and b) - (area between $\mu$ and a). The area to the right side of $\mu + k$ is equal to (0.5 - area between $\mu$ and $\mu + k$) for any value of $k > 0$. The area to the left side of $\mu - k$ is equal to (0.5 - area between $\mu$ and $\mu - k$) for any value of $k > 0$.

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Judy weighs 640 N and stands with one foot on one bath room scale and the other on a second bathroom scale. If one scale reads thrice as much as the other, find the readings on both scales.

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(v) $ y^{3}=x^{2} / 4 $ from $ y=0 $ to $ y=1 $

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The data displayed below are the twelve observations corresponding to concert attendance count (in thousands) (y) and the total CD sales (in thousands) (x) by a performing artist (or band) in the previous year. A marketing team would like to check if the number of CD sales is a good predictor of concert attendance. They obtain the following summary statistics for the data set. \begin{tabular}{ccccccc} $ \bar{x} $ & $ s_{x} $ & $ S_{x x} $ & $ \bar{y} $ & $ s_{y} $ & $ S_{y y} $ & $ S_{x y} $ \\ \hline 77.5 & 12.3913 & 1689 & 4.724 & 0.5319 & 3.1121 & 68.745 \end{tabular} $ \operatorname{summary}(\mathrm{x}) $ $ \begin{array}{lrrrrrr}\text { \# } & \text { Min. } & \text { 1st Qu. } & \text { Median } & \text { Mean } & \text { 3rd Qu. } & \text { Max. } \\ \text { \# } & 61.00 & 68.50 & 75.00 & 77.50 & 87.25 & 97.00\end{array} $ summary $ (\mathrm{y}) $ $ \begin{array}{lrrrrrr}\text { \# } & \text { Min. } & \text { 1st Qu. } & \text { Median } & \text { Mean } & \text { 3rd Qu. } & \text { Max. } \\ \text { \# } & 4.080 & 4.295 & 4.590 & 4.724 & 5.115 & 5.640\end{array} $ a) [2 marks] Calculate the correlation coefficient between CD sales and concert attendance count for the given sample data.

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Determine if each of the following is irreducible: (a) x2 + x + 1 in Z2[x]

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Given the costs and revenues of the firm shown in the figure, in the long run, this individual firm's demand curve will: Price.

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In an orchestra, 25 people can play stringed instruments, 17 can play brass, and 14 can play percussion. Further, 8 of the performers can play both strings and brass, whereas 8 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra? (Hint: Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.) The maximum number of people is and the minimum number of people is

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Section II Inflation and Cost of Living 1. Mount Saint Mary College students consume the following items in the following quantities listed in the table below. Good Quantity 2013 2014 2015 Gatorade 200 $1 $1.50 $2.00 Pizza 100 $10 $12 $14 Running Shoes 2 $84 $93 $105 Textbooks 25 $55 $80 $95 Jeans 2 $50 $75 $90 Calculate the price of the consumption bundle. Calculate a CPI using 2013 as the base year. Calculate the annual inflation rates. 2. Given the following historical data in the table below, calculate the real interest rate for each year. 2002 2003 2004 2005 2006 Interest Rate on T bills 1.6 1.0 1.4 3.2 4.7 Percentage change in CPI 2.4 1.9 3.3 3.4 2.5 Real Interest rate

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In a paragraph, or two (max. 250 words), explain why it is important to think about global stratification as extending beyond economic inequality.

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What rate of change of current is needed to induce an emf of 8 V in a 0.1-H coil?

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jeremy a.