CCEA GCSE Further Mathematics Unit 3 Statistics overview quiz quiz

Events $A$ and $B$ are mutually exclusive with $P(A) = 0.3$ and $P(B) = 0.45$. Find $P(A \cup B)$.

A bag has $4$ red and $6$ blue counters. One is drawn. What is $P(\text{red})$?

For two independent events, $P(A \cap B)$ equals:

For $X \sim B(n, p)$, the mean number of successes is:

A fair coin is tossed $4$ times. Find the probability of exactly $2$ heads.

For a Poisson distribution with mean $\lambda$, the variance is:

Events occur at $2$ per hour (Poisson). The mean for a $3$ hour period is:

To standardise a value $x$ from $N(\mu, \sigma^2)$, you compute:

Heights are $N(170, 10^2)$ cm. The z-score of a height of $185$ cm is:

On a scatter graph, points lying close to a downward line show:

A regression line is $y = 2 + 3x$. Predict $y$ when $x = 5$.

Predicting from a regression line far outside the data range is called:

Find the mean of $5, 8, 11, 4, 7$.

The data $2, 4, 6, 8$ has mean $5$. Its variance is:

For ordered data, the interquartile range is:

The standard deviation is found from the variance by: