3. a) A box contains 10 balls, of which 3 are blue, 2 are red, and 5 are green. Three balls are randomly selected with r
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3. a) A box contains 10 balls, of which 3 are blue, 2 are red, and 5 are green. Three balls are randomly selected with r
questions in which only one is correct. A student forgot to study prior to the day of the quiz, hence relies on pure guess- work to answer each question, independent of how he answers any previous questions. Find the probability that the student answers three questions wrong in a row before he finally answers a question correctly.
3. a) A box contains 10 balls, of which 3 are blue, 2 are red, and 5 are green. Three balls are randomly selected with replacement. 1. Construct a probability distribution for the number of blue ball being selected. ii. Find the probability that at least 2 of the selected balls are blue. b) The average number of rainy days in Pulau Langkawi for a one-month period is 6. The numbers of rainy days in different months are mutually independent. Find the probability that fewer than four rainy days occur in a month period. c) Students enrolling for a Statistics course are taking a multiple-choice quiz. There are four possible choices for each of the