IB Mathematics Analysis and Approaches Statistics & Probability Questionbank

The scores of $25$ students on a short mathematics quiz are summarized in the frequency table below:

A store places a coupon in $30\%$ of its products. Assume that each product purchased independently contains a coupon with probability $0.3$.

Let $T$ be the number of products that must be purchased until $3$ coupons have been obtained (including the product that contains the third coupon).

A mobile app has a feature that successfully loads with probability $0.85$ each time it is accessed. A user accesses the feature $8$ times in a session. Let $Y$ be the number of times the feature successfully loads.

A bag contains 8 marbles: 3 red, 3 blue, and 2 green. A game involves drawing marbles without replacement until either two marbles of the same color are drawn consecutively or all marbles are drawn. Let $Y$ be the number of draws when the game ends.

A dataset records study time $x$ (hours) and test score $y$ (points) for eight students: $\begin{array}{cccccc}x\text{(hours)}& 2& 4& 5& 7& \end{array}$