112 results for "binomial".

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• Binomial Distribution
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Expression of the (a+bx)^n is given and a couple of coefficients are asked for.

• Question in Archive

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Differentiate $(a+bx) ^ {m} \sin(nx)$

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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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Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

• Question in How-tos
The student must expand an expression of the form $(x+a)(x+b)(x+c)$. A pattern restriction ensures there are no brackets in their answer.
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Given descriptions of  3 random variables, decide whether or not each is from a Poisson or Binomial distribution.

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Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

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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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$X \sim \operatorname{Binomial}(n,p)$. Find $P(X=a)$, $P(X \leq b)$, $E[X],\;\operatorname{Var}(X)$.

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Differentiate the function $(a + b x)^m e ^ {n x}$ using the product rule.

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Differentiate $f(x)=x^{m}\sin(ax+b) e^{nx}$.

The answer is of the form:
$\displaystyle \frac{df}{dx}= x^{m-1}e^{nx}g(x)$ for a function $g(x)$.

Find $g(x)$.

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Differentiate $(a+bx) ^ {m} \sin(nx)$

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Differentiate $\displaystyle (ax^m+b)^{n}$.

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Differentiate $\displaystyle \ln((ax+b)^{m})$

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Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

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Given descriptions of  3 random variables, decide whether or not each is from a Poisson or Binomial distribution.

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Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

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• Exam (6 questions)

6 questions on standard statistical distributions.

Binomial, Poisson, Normal, Uniform, Exponential.

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• binomial3
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