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1. A box has 9 balls consisting of 5 blue balls and 4 green balls, from which 3 balls must be randomly drawn simultaneously. It
1. A box has 9 balls consisting of 5 blue balls and 4 green balls, from which 3 balls must be randomly drawn simultaneously. It is of interest to determine the probability that a certain number of balls are blue. 1.2 What is the probability that exactly two of the three balls selected, without replacement, are blue? A. 0.2857 8. 0.4762 C. 0.5238 D. 0.7143 1.3 What is the probability that at least two of the three balls selected without replacement are blue? A. 0.4048 8. 0.5952 C. 0.1190 D. 0.2673 2. From past experience, it is known that 10% of the creatures in a certain sea are venomous. If an oceanographer samples 20 creatures from this sea, what is the probability that ve of these creatures are venomous? A. 0.0915 8. 0.0014 C. 0.0319 D. 0.0080 3. From past experience, it is known that 10% of the creatures in a certain sea are venomous. If an oceanographer samples 20 creatures from this sea, how many of these creatures will be venomous. on the average? (Hint: Expected Value Application) A. 2 B. 3 C. 4 D. 5 4. From past experience, it is known that 10% of the creatures in a certain sea are venomous. What is the probability that you will have to capture and test 5 creatures to get three venomous creatures? (Hint: Review Negative Binomial and Geometric Distributions) A. 0.0081 8. 0.0437 C. 0.0049 D. 0.0729 5. A student takes a 20-item multiple choice exam with ve choices for each question and with only one correct answer per question. If the student did not study and guesses on each question, nd the probability that the student will get at least one item correctly? A. 0.00115 8. 0.8926 C. 0.9884 D. 0.9308 6. Which of the following is NOT a characteristic of a binomial distribution? A. The probability of success is the same for all trials. 8. The trials are dependent to each other. C. There are only two outcomes. D. It has a x number of trials. 71 If 5 cards are randomly selected, without replacement, and X is the random variable as the number of red cards among the 5 cards selected. then the probability distribution produced by this experiment is an example of a? (Hint: Review the characteristics of the three special discrete probability distributions.) A. binomial B. hypergeometen'c C. Poisson D. uniform
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