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Fill out the black to make the given table below a probability distribution. P(z) 0.0 0.01 2 0.11 0.49 2. An opaque bag contains 12 yellow marbles and 6 teal marbles. If two marbles are randomly chosen from the bag at the same time, find the probability that both marbles are teal. Round your answer to four decimal places. 3. For the proprablility distribution table below: P(x) 0.15 0.26 0.20 0.29 0.02 Find the mean. Round to two decimal places. (2 - ")' . P(x) Find the star 4. Given the number of trials and the probability of success, determine the probability indicated: n = 14, p = 0.8, find P(9 successes) P(9 successes) = (round to the nearest thousandth) For the proprablility distribution table below: P(=) & P(z) 'P(z) 0.21 1 0.17 2 0.27 0.26 0.09 Find the mean, Round to two decimal places. - Find the standard deviation. Round to three decimal places. 5. 6. A survey shows that about 60% (i.e., 0.6) of all students know the HelpYourMath YouTube channel in a college. Suppose that we randomly select 16 students from the college, please solve the following problems and round your answers to 4 decimal places. a. What is the probability that exactly 3 of them know HelpYourMath YouTube Channel? b. What is the probability that at least 3 of them know HelpYourMath YouTube Channel? c. What is the probability that at most 3 of them know HelpYourMath YouTube Channel? d. What is the probability that more than 3 of them know HelpYourMath YouTube Channel? e. What is the probability that less than 3 of them know HelpYourMath YouTube Channel