Teaching CSIR NET Mock Test Series Mathematical Science Statistics & Exploratory Data Analysis Probability
The probability of getting a head in tossing of a coin is p, p ∈ (0, 1). The coin is independently tossed 25 times and head appears 10 times. The Bayes estimate of p, with respect to the prior Beta(5, 5) and the squared error loss function, is
1
\(\frac{3}{7}\)
2
\(\frac{3}{5}\)
3
\(\frac{1}{2}\)
4
\(\frac{2}{5}\)