A coin has probability \(p\) of landing heads when tossed. A test will be made of the hypotheses \(H_{0}: p \leq 0.1\) ver- sus \(H_{1}: p>0.1\), as follows. The coin will be tossed once. If it comes up heads, \(H_{0}\) will be rejected. If it comes up tails, \(H_{0}\) will not be rejected.

a. If the true value of \(p\) is 0.1 , what is the probability that the test results in a type I error?

b. If the true value of \(p\) is 0.4 , what is the probability that the test results in a type II error?