5 results.
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Question in Content created by Newcastle University
A box contains $n$ balls, $m$ of these are red the rest white.
$r$ are drawn without replacement.
What is the probability that at least one of the $r$ is red?
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Question in Content created by Newcastle University
Two numbers are drawn at random without replacement from the numbers m to n.
Find the probability that both are odd given their sum is even.
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Question in Content created by Newcastle University
Three parts. A sample of size $n$ is taken from $N$ where $k$ of the items are known to be defective and the task is to find the probability that more than $m$ defectives are in the sample. First part is sampling with replacement (binomial), second is sampling without replacement, (hypergeometric) and the last part uses the Poisson approximation to the first part.
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Question in Content created by Newcastle University
No description given
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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 $E[X]$.