Podcast
Questions and Answers
What is the formula for the mean of a binomial distribution with parameters n and p?
What is the formula for the mean of a binomial distribution with parameters n and p?
- E[X] = n(1 - p)
- E[X] = nq
- E[X] = n/p
- E[X] = np (correct)
Which distribution describes the number of events occurring in a fixed interval of time or space with a known constant rate?
Which distribution describes the number of events occurring in a fixed interval of time or space with a known constant rate?
- Binomial distribution
- Normal distribution
- Uniform distribution
- Poisson distribution (correct)
What is the variance formula for a Poisson distribution with parameter λ?
What is the variance formula for a Poisson distribution with parameter λ?
- $Var(X) = λ$ (correct)
- $Var(X) = λ^2$
- $Var(X) = rac{1}{λ^2}$
- $Var(X) = rac{1}{λ}$
In the moment generating function formula for binomial distribution, what is represented by 't'?
In the moment generating function formula for binomial distribution, what is represented by 't'?
For which distribution does the probability mass function contain the term k!?
For which distribution does the probability mass function contain the term k!?
What does the moment generating function help calculate for a probability distribution?
What does the moment generating function help calculate for a probability distribution?
In a continuous uniform distribution, every value between a and b has what kind of likelihood of occurring?
In a continuous uniform distribution, every value between a and b has what kind of likelihood of occurring?
Which formula correctly represents the moment generating function for a Poisson distribution with parameter λ?
Which formula correctly represents the moment generating function for a Poisson distribution with parameter λ?
What is the variance formula for a binomial distribution B(n,p)?
What is the variance formula for a binomial distribution B(n,p)?
What is the notation for the uniform distribution with minimum value $a$ and maximum value $b$?
What is the notation for the uniform distribution with minimum value $a$ and maximum value $b$?
For the uniform distribution U(a,b), what is the probability mass function (PMF) when $x=a+3$?
For the uniform distribution U(a,b), what is the probability mass function (PMF) when $x=a+3$?
What is the variance of a uniform distribution U(2,8)?
What is the variance of a uniform distribution U(2,8)?
What does the moment generating function (MGF) help derive for a random variable?
What does the moment generating function (MGF) help derive for a random variable?
What is the moment generating function (MGF) for a uniform distribution over integers 1 to 6?
What is the moment generating function (MGF) for a uniform distribution over integers 1 to 6?
In the context of a uniform distribution U(a,b), if $P(X=x)$ for $x=a+2$, what is $P(X=a+2)$?
In the context of a uniform distribution U(a,b), if $P(X=x)$ for $x=a+2$, what is $P(X=a+2)$?
What is the mean of a uniform distribution U(3,9)?
What is the mean of a uniform distribution U(3,9)?
If a uniform distribution U(4,10) has $P(X=x) = \frac{1}{7}$ for some $x$, what does this suggest about $x$?
If a uniform distribution U(4,10) has $P(X=x) = \frac{1}{7}$ for some $x$, what does this suggest about $x$?
For a uniform distribution U(2,7), what is the probability of $P(X=3)$?
For a uniform distribution U(2,7), what is the probability of $P(X=3)$?
What does the moment generating function MX(t) help calculate for a random variable X?
What does the moment generating function MX(t) help calculate for a random variable X?
