Let θ be a bernoulli random variable that indicates which one of two hypotheses is true, and let p(θ=1)=p. under the hypothesis θ=0, the random variable x is uniformly distributed over the interval [0,1]. under the alternative hypothesis θ=1, the pdf of x is given byfx∣θ(x∣1)={2x,0, if 0≤x≤1, otherwise. consider the map rule for deciding between the two hypotheses, given that x=x. suppose for this part of the problem that p=3/5. the map rule can choose in favor of the hypothesis θ=1 if and only if x≥c1. find the value of c1.