Mathematics A H230: Statistical Distributions Topical Past Paper Questions

(a) Write down the term in $ b^{5} $ in the expansion of $ (a+b)^{12} $. [1] (b) A variable $X$ has a binomial distribution such that $P(X=5)$ is given by the term in part (a). (i) State a condition that must be satisfied by $a$ and $b$. [1] (ii) State the distribution of $X$. Gi…

Casey and Riley attend a large school. They are discussing the music preferences of the students at their school. Casey believes that the favourite band of 75% of the students is Blue Rocking. Riley believes that the true figure is greater than 75%. They plan to carry out a hypot…

(a) The probability distribution of a random variable $X$ is shown in the table, where $p$ is a constant. Two values of X are chosen at random. Determine the probability that their product is greater than their sum. [5] (b) A random variable Y takes $n$ values, each of which is e…