4. Probability

In the context of estimating a population parameter, how does decreasing the confidence level affect the sample size required to achieve a fixed margin of error?

In a discrete probability distribution, the sum of all the probabilities must be equal to which of the following values?

Given the following table provides a probability distribution for the random variable $X$:

Which of the following events has a theoretical probability equal to $\frac{1}{3}$?

In the context of basic probability concepts, does sampling error increase as the sample size $n$ increases?

In a study, the data you collect is the number of traffic tickets each person has received. What is the level of measurement for this variable?

A process of analyzing data to identify meaningful relations and trends is called data what?

In the context of probability and statistics, what is the main difference between a $\mathrm{parameter}$ and a $\mathrm{statistic}$?

A fair six-sided die has one blue face and five non-blue faces. What is the probability that a player will need to toss the die at least $2$ times before blue lands faceup for the first time?

Given that $X$ has a Poisson distribution with parameter $\lambda$, which of the following is the correct expression for the probability that $X$ equals $k$?

For a standard normal random variable $Z$, what is the probability that $0.3<Z<3.2$?

Which of the following correctly states the two requirements for a discrete probability distribution?

Which of the following statements about conditional and marginal probabilities is correct? Select the single correct option.

In the context of $Probability$ and $Statistics$, why is a $sample$ used more often than a $population$ when conducting studies?