Standard +0.8 This requires students to work backwards from E(T) = np and SD(T) = √(np(1-p)) to find n and p, involving algebraic manipulation and solving simultaneous equations. While the binomial parameter formulas are standard, the reverse-engineering aspect and need to eliminate one variable makes this moderately challenging, above typical routine exercises but not requiring deep insight.
In this question you must show detailed reasoning.
The random variable \(T\) has a binomial distribution. It is known that \(E(T) = 5.625\) and the standard deviation of \(T\) is \(1.875\). Find the values of the parameters of the distribution. [5]
In this question you must show detailed reasoning.
The random variable $T$ has a binomial distribution. It is known that $E(T) = 5.625$ and the standard deviation of $T$ is $1.875$. Find the values of the parameters of the distribution. [5]
\hfill \mbox{\textit{OCR FS1 AS 2021 Q3 [5]}}