6 results.
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Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
and 1 other
A weighted coin with given $P(H),\;P(T)$ is tossed 3 times. Let $X$ be the random variable which denotes the longest string of consecutive heads that occur during these tosses. Find the Probability Mass Function (PMF), expectation and variance of $X$.
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Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$, find the expectation $E$ and $P(X \gt E)$.
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Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
Determine if the following describes a probability mass function.
$P(X=x) = \frac{ax+b}{c},\;\;x \in S=\{n_1,\;n_2,\;n_3,\;n_4\}\subset \mathbb{R}$.
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Question in Bill's workspace
Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$, find the expectation $E$ and $P(X \gt E)$.
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Question in Bill's workspace
Determine if the following describes a probability mass function.
$P(X=x) = \frac{ax+b}{c},\;\;x \in S=\{n_1,\;n_2,\;n_3,\;n_4\}\subset \mathbb{R}$.
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Question in Bill's workspace
Two numbers from a set of $5$ numbers are chosen at random, without replacement. Find the distribution $X$ of their sum and $E[X]$.