Question -
Answer -
Let us assume that thenumber of correctly answered questions out of twenty questions be x.
Since, ‘head’ on thecoin shows the true answer and the ‘tail’ on the coin shows the false answers.Thus, the repeated tosses or the correctly answered questions are Bernoullitrails.
Thus, p = ½ and q = 1– p = 1 – ½ = ½
Here, it can beclearly observed that x has binomial distribution, where n = 20 and p = ½
Thus, P(X = x) = nCx qn-x px,where x = 0, 1, 2 … n
