The components do not overlap so y is observed

Let X and Y be independent random variables such that X follows U(0, 1) distribution and Y follows Bernoulli distribution with success probability p ∈ (0, 1). Define Z = X + Y. Let $z_1=0.5,z_2=1.2,z_3=1.3,z_4=0.9,z_5=0.1,z_6=0.7$ be the observed values from the distribution of Z. Then the maximum likelihood estimate of p equals