39 results for "expectation".
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Question in Stats
Application of the Poisson distribution given expected number of events per interval.
Finding probabilities using the Poisson distribution.
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Question in Stats
Application of the binomial distribution given probabilities of success of an event.
Finding probabilities using the binomial distribution.
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Question in Stats
Question on the exponential distribution involving a time intervals and arrivals application, finding expectation and variance. Also finding the probability that a time interval between arrivals is less than a given period. All parameters and times randomised.
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Question in Stats
Normal distribution $X \sim N(\mu,\sigma^2)$ given. Find $P(a \lt X \lt b)$. Find expectation, variance, $P(c \lt \overline{X} \lt d)$ for sample mean $\overline{X}$.
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Question in LeicesterPhysPractice
Given a discrete random variable $X$ find the expectation of $1/X$ and $e^X$.
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Question in LeicesterPhysPractice
The random variable $X$ has a PDF which involves a parameter $c$. Find the value of $c$. Find the distribution function $F_X(x)$ and $P(a \lt X \lt b)$.
Also find the expectation $\displaystyle \operatorname{E}[X]=\int_{-\infty}^{\infty}xf_X(x)\;dx$.
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Question in LeicesterPhysPractice
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 LeicesterPhysPractice
Given the PDF for $Y \sim \operatorname{Exp}(\lambda)$ find the CDF, $P(a \le Y \le b)$ and $\operatorname{E}[Y],\;\operatorname{Var}(Y)$
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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 $P(X \gt E)$.