4. Probability

In the context of probability, what does it mean when sampling is done without replacement?

Which of the following terms best describes a process of analyzing data to identify meaningful relations?

Which term best describes the process of using numbers and graphs to understand and interpret information about our world?

Given the exponential probability density function $f\left(x\right)=\lambda e^{-\lambda x}$ for $x\ge 0$ and $\lambda >0$, what is the expected value (mean) of $X$?

If $30$ is what percent of $120$? Identify the percent, amount, and base in this problem.

Which of the following is a reason that $\mathrm{Six} \mathrm{Sigma}$ methodologies rely heavily on data analysis?

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

Given the following table, does it represent a valid discrete probability distribution? x: $1$ $2$ $3$ $4$ P(x): $0.2$ $0.3$ $0.4$ $0.1$

Which of the following is an example of a variable measured on the $nominal$ scale?

Which of the following is a property of a $randomvariable$?

Which of the following is the most widely used continuous probability distribution? The $—$ distribution.

Which of the following is a valid probability distribution?

Suppose a bag contains $3$ orange marbles and $5$ blue marbles. If you randomly pick one marble from the bag and then flip a fair coin, what is the probability of picking an orange marble and flipping tails?