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PART 1 Parameters for Probability Distributions 1) Find the mean, variance, and standard deviation of each probability distribution. (a) (b) . X P(x) X P(x) 0 0.24 0 0.16 1 0.01 1 0.25 2 0.12 2 0.36 3 0.16 3 0.15 4 0.01 4 0.08 5 0.14 6 0.11 7 0.21 PART 2 Binomial Probability Distributions 2) A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working. 3) In a certain college, 33% of the physics majors belong to ethnic minorities. If 100 students are selected at random from the physics majors, that is the probability that between no more than 6 belong to an ethnic minority