Easy -1.2 This is a straightforward recall question requiring only the binomial distribution formulas (mean = np, variance = np(1-p)) and simple algebra to find p = 1 - 144/225 = 0.64. It's a single-step calculation with multiple choice answers provided, making it easier than average.
The random variable \(X\) is such that \(X \sim B(n, p)\)
The mean value of \(X\) is 225
The variance of \(X\) is 144
Find \(p\).
Circle your answer.
[1 mark]
0.36 \quad 0.6 \quad 0.64 \quad 0.8
The random variable $X$ is such that $X \sim B(n, p)$
The mean value of $X$ is 225
The variance of $X$ is 144
Find $p$.
Circle your answer.
[1 mark]
0.36 \quad 0.6 \quad 0.64 \quad 0.8
\hfill \mbox{\textit{AQA Paper 3 2021 Q11 [1]}}