185 results for "probability".

Question in Martin's workspaceAn interactive experiment about probability: the student must first 'design' the experiment by deciding how many times they're going to flip a coin, and define what number of heads would make them believe the coin is biased. They must then enter the results of their coin flips, calculate the percentage of heads, and finally decide if the coin is biased, using the condition they specified in the design stage. There are optional hints at each stage.

Question in DemosAn interactive experiment about probability: the student must first 'design' the experiment by deciding how many times they're going to flip a coin, and define what number of heads would make them believe the coin is biased. They must then enter the results of their coin flips, calculate the percentage of heads, and finally decide if the coin is biased, using the condition they specified in the design stage. There are optional hints at each stage.

Question in Shihan's workspace
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Question in Shihan's workspace
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Question in Shihan's workspace
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Question in Shihan's workspace
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Question in Content created by Newcastle University
Given $P(A)$, $P(A\cup B)$, $P(B^c)$ find $P(A \cap B)$, $P(A^c \cap B^c)$, $P(A^c \cup B^c)$ etc..

Question in Adelle's workspace
A simple situational question about a box of chocolates, asking how many of each type there are, what percentage of the box they represent, the probability of picking one and ratios of different types.

Question in STAT7008
rebelmaths
Printing errors in the work produced by a particular film occur randomly at an average rate of p per page.
i.What is the probability that a one page document will contain x1 printing error(s)?
ii.If a n page document is printed, calculate the probability of having more than x2 errors. Assume a Poisson distribution. 
Exam (2 questions) in Content created by Newcastle University
Statistics and probability. Two questions: using LSD and Tukey yardsticks.

Exam (1 question) in Content created by Newcastle University
Statistics and probability. A question on two factor ANOVA.

Exam (2 questions) in Content created by Newcastle University
Statistics and probability. 2 questions, 1 on two sample ttest and 1 on paired ttest.

Exam (1 question) in Content created by Newcastle University
Statistics and probability. Two wayanova question.

Question in Content created by Newcastle University
Given data on population mean and population standard deviation and three sampling sizes, calculate the probabilities that the sample means are within a specified distance from the population mean.

Exam (2 questions) in Content created by Newcastle University
Statistics and probability. 2 questions. Both simple regression. First with 8 data points, second with 10. Find $a$ and $b$ such that $Y=a+bX$. Then find the residual value for one of the data points.

Question in Content created by Newcastle University
Independent events in probability. Choose whether given three given pairs of events are independent or not.

Question in Content created by Newcastle University
Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Question in Content created by Newcastle University
Simple probability question. Counting number of occurences of an event in a sample space with given size and finding the probability of the event.

Exam (1 question) in Content created by Newcastle University
Statistics and probability. Practice exam, oneway Anova for PSY2010.

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?

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.

Exam (1 question) in Content created by Newcastle University
Statistics and probability. One question on multiple and partial correlation.

Question in Content created by Newcastle University
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 $\displaystyle \operatorname{E}[X]=\int_{\infty}^{\infty}xf_X(x)\;dx$.

Question in Content created by Newcastle University
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 $\overline{X}$.

Question in Content created by Newcastle University
Example showing how to calculate the probability of A or B using the law $p(A \;\textrm{or}\; B)=p(A)+p(B)p(A\;\textrm{and}\;B)$.
Also converting percentages to probabilities.
Easily adapted to other applications.

Question in Content created by Newcastle University
Rolling a pair of dice. Find probability that at least one die shows a given number.

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.

Question in Content created by Newcastle University
$f(x,y)$ is the PDF of a bivariate distribution $(X,Y)$ on a given rectangular region in $\mathbb{R}^2$. Write down the limits of the integrations needed to find $P(X \ge a)$, the marginal distributions $f_X(x),\;f_Y(y)$ and the conditional probability $P(Y \le bX \ge c)$

Question in Content created by Newcastle University
Determine if the following describes a probability mass function.
$P(X=x) = \frac{ax+b}{c},\;\;x \in S=\{n_1,\;n_2,\;n_3,\;n_4\}\subset \mathbb{R}$.

Question in Content created by Newcastle University
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 $X$.