4. Probability

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?

Matching Probabilities In Exercises 11-16, match the event with its probability.

a. 0.95

b. 0.005

c. 0.25

d. 0

e. 0.375

f. 0.5

11. A random number generator is used to select a number from 1 to 100. What is the probability of selecting the number 153?