4. Probability

Which of the following correctly represents the formula for the probability of the union of two events $A$ and $B$ in probability theory?

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

In the context of probability, how is a $\mathrm{sample}$ related to a $\mathrm{population}$?

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?

Identifying Simple Events In Exercises 33-36, determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning.

34. A spreadsheet is used to randomly generate a number from 1 to 4000. Event B is generating a number less than 500.

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 $P(A\cap B)$?