True or False: Suppose that a judge's decisions follow a binomial distribution and that his verdict
is incorrect 10% of the time.In his next 10 decisions, the probability that he makes fewer than 2
incorrect verdicts is 0.736.

Question

Quizplus · Accepted Answer

The probability of making fewer than 2 incorrect verdicts (0 or 1 incorrect) can be calculated using the binomial distribution formula. For 0 incorrect verdicts: P(X=0) = (10 choose 0) * (0.1)^0 * (0.9)^10 = 0.3487. For 1 incorrect verdict: P(X=1) = (10 choose 1) * (0.1)^1 * (0.9)^9 = 0.3874. Adding these probabilities gives 0.3487 + 0.3874 = 0.7361, which rounds to 0.736.

True or False: Suppose That a Judge's Decisions Follow a Binomial