160 results authored by Julie Crowley - search across all users.
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Application of the Poisson distribution given expected number of events per interval.
Finding probabilities using the Poisson distribution.
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Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.
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Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.
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Simple probability question. Counting number of occurrences of an event in a sample space with given size and finding the probability of the event.
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It is estimated that 30% of all CIT students cycle to college. If a random sample of eight CIT students is chosen, calculate the probability that...
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Decimal Places and Significant Figures
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No description given
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A student selects a card from a deck of 52 and rolls a dice once.
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Laplace of constants and powers of t
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First- and second order recurrence equations, homogenous and nonhomogenous
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Find a regression equation given 12 months data on temperature and sales of a drink. Includes an interactive diagram for experimenting with fitting a regression line.
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No description given
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Graph Limits
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Calculate the Pearson correlation coefficient on paired data and comment on the significance.
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Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. The y-intercept is given.
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Method of undermined coefficients:
Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$. (Equal roots example). Includes an interactive plot.
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Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$.
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Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line.
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Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.
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Compute a table of values for a quadratic function. The student input is now disconnected from the graph so that they slide the points on the graph after they input the values and the answer fields are not updated. Now includes a graph in advice.
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No description given
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Compute a table of values for an exponential function. The student input is now disconnected from the graph so that they slide the points on the graph after they input the values and the answer fields are not updated. Now includes a graph in advice.
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Calculate the Pearson correlation coefficient on paired data and comment on the significance.
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Indices
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Splitting an algebraic fraction into partial fractions
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Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.
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Practice use of summation notation for regression question.
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$X \sim \operatorname{Binomial}(n,p)$. Find $P(X=a)$, $P(X \leq b)$, $E[X],\;\operatorname{Var}(X)$.
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