3 In a random sample of 100 students at Luciana's college, \(x\) students said that they liked exams. Luciana used this result to find an approximate \(90 \%\) confidence interval for the proportion, \(p\), of all students at her college who liked exams. Her confidence interval had width 0.15792 .

1. Find the two possible values of \(x\).
   Suzma independently took another random sample and found another approximate \(90 \%\) confidence interval for \(p\).
2. Find the probability that neither of the two confidence intervals contains the true value of \(p\). [1]