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1. Fill in the blanks (1 mark) Consider a sample of size 10 drawn in the following manner: We start with an urn containing 7 white and 8 black balls. At each stage, a ball is drawn and its colour is noted. The ball is then returned to the urn, along with an additional ball of the same colour. The probability that the sample contains exactly 5 white balls is _ (Correct the answer to 5 decimal places.) Enter the correct answer below. Please enter a number for this beat box. 2. Let X be a binomial random variable with parameters (n, p). It is given that the probability that X" is an even number is 1/2. Then the value of p must be 1/2. (1 mark) O True O False 3. Fill in the blanks (1 mark) There are 10 coins in a box. It is given that the * coin comes up head with probability /100, where i = 1, 2, ..., 10. When one of the 10 coins is randomly selected and flipped, it shows heads. The probability that it was the 9th coin is 1. (Correct the answer to 5 decimal places.) Enter the correct answer below. Please enter a number for this text box