Skip to content
Q32Section ST (Statistics (Q11–Q65))32 of 65

MLE of binomial p under a bound

Let x1=0,x2=1,x3=1,x4=1x_1 = 0, x_2 = 1, x_3 = 1, x_4 = 1 and x5=0x_5 = 0 be observed values of a random sample of size 5 from Bin⁡(1,θ)\operatorname{Bin}(1, \theta) distribution, where θ∈(0,0.7]\theta \in (0, 0.7]. Then the maximum likelihood estimate of θ\theta based on the above sample is __________ (rounded off to two decimal places).

Numerical answer: type the number (no options).

Type your answer and check it.