## Questions and Answers

What is the formula for the mean of a binomial distribution with parameters n and p?

Which distribution describes the number of events occurring in a fixed interval of time or space with a known constant rate?

What is the variance formula for a Poisson distribution with parameter λ?

In the moment generating function formula for binomial distribution, what is represented by 't'?

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For which distribution does the probability mass function contain the term k!?

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What does the moment generating function help calculate for a probability distribution?

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In a continuous uniform distribution, every value between a and b has what kind of likelihood of occurring?

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Which formula correctly represents the moment generating function for a Poisson distribution with parameter λ?

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What is the variance formula for a binomial distribution B(n,p)?

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What is the notation for the uniform distribution with minimum value $a$ and maximum value $b$?

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For the uniform distribution U(a,b), what is the probability mass function (PMF) when $x=a+3$?

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What is the variance of a uniform distribution U(2,8)?

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What does the moment generating function (MGF) help derive for a random variable?

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What is the moment generating function (MGF) for a uniform distribution over integers 1 to 6?

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In the context of a uniform distribution U(a,b), if $P(X=x)$ for $x=a+2$, what is $P(X=a+2)$?

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What is the mean of a uniform distribution U(3,9)?

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If a uniform distribution U(4,10) has $P(X=x) = \frac{1}{7}$ for some $x$, what does this suggest about $x$?

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For a uniform distribution U(2,7), what is the probability of $P(X=3)$?

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What does the moment generating function MX(t) help calculate for a random variable X?

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