3 The probability that a certain spinner lands on red on any spin is \(p\). The spinner is spun 140 times and it lands on red 35 times.
- Find an approximate \(96 \%\) confidence interval for \(p\).
From three further experiments, Jack finds a 90\% confidence interval, a 95\% confidence interval and a 99\% confidence interval for \(p\). - Find the probability that exactly two of these confidence intervals contain the true value of \(p\).