4. Probability

Suppose the probability that a flight is on time is $P(\backslash (\backslash text\{on\; time\}\backslash ))\; =0.70$, the probability that it is less than $5$ minutes late is $P(\backslash (\backslash text\{less\; than\; \}\backslash )5\backslash (\backslash text\{\; min\; late\}\backslash ))\; =0.15$, and the probability that it is more than $5$ minutes late is $P(\backslash (\backslash text\{more\; than\; \}\backslash )5\backslash (\backslash text\{\; min\; late\}\backslash ))\; =0.15$. What is the probability that the flight will be no more than $5$ minutes late (to 2 decimals)?

Which of the following best describes the difference between $univariate$ data and $bivariate$ data?

In the context of probability and statistics, what does the error (accuracy of a poll) expressed as a $\pm$ percentage most commonly represent?

Which of the following is classified as ordinal-level data?

Statistical methods are most effective for analyzing which type of data?

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

Given the following probability distribution, determine whether it is a discrete probability distribution: $x$: $1$, $2$, $3$; $P\left(x\right)$: $0.2$, $0.5$, $0.3$.

In probability theory, what is the main difference between an $\mathrm{outcome}$ and an $\mathrm{event}$?

Suppose the probability of getting a job interview from a single application is $p$, and you submit $n$ independent applications. Which expression gives the probability of getting at least one interview if you submit between $1$ and $10$ applications?

If the hourly wage of detasselers is normally distributed with a mean of $\$13$ and a standard deviation of $\$2$, what is the probability that a randomly selected detasseler makes less than $\$13$ per hour? Express your answer as $p(z<0.5)$.

Which of the following statements about the population proportion $p$ and sample proportion $p$ is correct?

Which of the following best describes the difference between a stratified sample and a cluster sample?

Suppose $x$ has a uniform distribution on the interval $[0,1]$. What is the probability that $x<0.25$?

Suppose $Z$ is a standard normal random variable. What is the probability that $Z<0$?