Statistics and Probability

What is the lower quartile ($Q_1$) of the data set: $1, 2, 3, 4, 5, 6, 7$?

A data set is: $2, 2, 3, 3, 3, 4, 4$. What is the mode?

If the standard deviation of a set is $s$, what is the standard deviation if every value is decreased by $10$?

The total area under a histogram where the vertical axis is 'Relative Frequency Density' (where total frequency is expressed as $1$) is always:

On a cumulative frequency curve, which percentile corresponds to the lower quartile?

If you are given a cumulative frequency table, how do you find the frequency of a single class interval?

What is the primary purpose of finding the line of best fit?

In a scatter diagram, if the points cluster tightly around a straight line, the magnitude of $r$ is:

What does a correlation coefficient of $r = 0.7$ suggest about the relationship between two variables?

If $A$ is an impossible event, then $P(A) =$

If the probability of winning a game is $\frac{2}{7}$, what is the probability of losing the game?

Given $U = \{1, 2, 3, 4, 5, 6\}$ and $A = \{2, 4, 6\}$, what is $P(A)$ if an element is chosen at random from $U$?

In a group of $40$ people, $10$ speak French, $20$ speak Spanish, and $5$ speak both. How many people speak neither language?

Three coins are tossed. What is the probability of getting the sequence Head, Tail, Head in that specific order?

Given $P(A) = 0.6, P(B) = 0.3,$ and $P(A \cup B) = 0.7$, find $P(A \cap B)$.

Given $P(A \cap B) = 0.4$ and $P(A) = 0.5$, find $P(B|A)$.

If $P(A) = 0.9$ and $P(B|A) = 0.9$, find $P(A \cap B)$.

Events $A$ and $B$ are such that $P(A) = 0.8$ and $P(B) = 0.0$. Find $P(A \cap B)$.

If $P(Z > k) = 0.5$ in a standard normal distribution, what is $k$?

Given $X \sim N(40, 36)$, what is the value of $\mu$?

The Normal distribution is an example of: