Edexcel S2 2021 June — Question 6

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2021
SessionJune
TopicApproximating Binomial to Normal Distribution
TypeFind parameter from normal approximation
  1. The random variable \(Y \sim \mathrm {~B} ( 225 , p )\)
Using a normal approximation, the probability that \(Y\) is at least 188 is 0.1056 to 4 decimal places.
  1. Show that \(p\) satisfies \(145 p ^ { 2 } - 241 p + 100 = 0\) when the normal probability tables are used.
  2. Hence find the value of \(p\), justifying your answer.
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