यदि मोबाइल बैटरियों का जीवनकाल पैरामीटर λ = 0.002 दिन के साथ चरघातांकीय रूप से वितरित (exponentially distributed) होता है, तो एक बैटरी के 1500 दिनों से अधिक समय तक चलने की प्रायिकता (probability) क्या है?

Let X1, X2, ... be a sequence of independent and identically distributed random variables having a Binomial(3, 14) distribution. For j = 1, 2, ..., define Yj = 1 if Xj ≤ √5, and Yj = 0 otherwise. If 1n ∑j=1n Yj2 converges almost surely to a constant c as n → ∞, then the value of c is:

Let X be a single sample from an absolutely continuous distribution with probability density function f(x|θ) = 2θ2 (θ - x) for 0 0 is unknown. Which of the following intervals is a 95% confidence interval for θ?