A random variable X takes -1 and +1 with probabilities 0.2 and 0.8, respectively. It is transmitted across a channel which adds noise N, so that the random variable at the channel output is Y = X + N. The noise n is independent of X, and is uniformly distributed over the interval [-2, 2]. The receiver makes a decision

Where the threshold θ ∈ [-1, 1] is chosen so as to minimize the probability of error  The minimum probability of error, rounded off to 1 decimal place, is ______________.