4. Probability

If the chosen significance level is $\alpha$ = $0.05$, then there is a 5% chance of which of the following?

Which characteristic must be known about a data set before the empirical rule can be applied?

A florist has $5$ roses, $3$ tulips, and $2$ daisies in a basket. If one flower is selected at random for a bouquet, what is the probability that the selected flower is a tulip?

Given a sample size of $n=24$ and a sample standard deviation of $s=1.56$, what is the value of the sample variance?

Which of the following ratios is equivalent to $5:4$?

In a standard deck of $52$ playing cards, what is the probability of not drawing a queen in a single random draw?

Which of the following is not a principle of probability?

A fair coin is tossed $28$ times. What is the probability that at most $25$ tails occur?

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

Let A and B be two independent events. If $P\left(A\right)$ = $0.5$ and $P\left(B\right)$ = $0.3$, what is $P(A\cap B)$?

Interpreting data requires the data be which of the following?

In probability theory, the probability of event $a$ given event $b$, denoted as $P\left(a\right|b)$, is equal to which of the following expressions?

In a particular week, a train company recorded the following percentages for late arrivals: $27.6\%$, $38.2\%$, $40.0\%$, and $72.4\%$. If the correct percentage of trains that were late is $27.6\%$, which of the following is the correct value?

A spinner is divided into $8$ equal sections: $3$ are red, $2$ are blue, and $3$ are green. If the spinner is spun once, what is the probability that it will land on a red section?

If $X$ is a continuous random variable uniformly distributed on the interval $[0,4.5)$, what is the probability that $X<3$?