Mathematics Exams quiz
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Sample questions
- 5.3-1. Let $X_1$ and $X_2$ be independent Poisson random variables with respective means $\lambda_1=2$ and $\lambda_2=3$. Find (a) $P\left(X_1=3, X_2=5\right)$. HINT. Note that this event can occur if and only if $\left\{X_1=1, X_2=0\right\}$ or $\left\{X_1=0, X_2=1\right\}$.
- A group of hikers climbed from Salt Flats (elevation -55 feet)to Talon Bluff (elevation 620 feet). What is the difference in elevation between Talon Bluff and Salt Flats?
- Find the interval in which the smallest positive root of the following equations lies: tan x + tanh x = 0. Determine the roots correct to two decimal places using the bisection method
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