Each question has 3 possible choices The random variable X denotes the number

# Each question has 3 possible choices the random

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A student randomly guesses at 4 multiple choice questions. Each question has 3 possible choices. The random variable X denotes the number of correct answers. The experiment can be modeled as? (a binomial experiment with 4 trials and success probability 1/3) A binomial experiment is a statistical experiment that has the following properties: The experiment consists of n repeated trials. Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure. The probability of success, denoted by p, is the same on every trial. 4. Find the mean (average) for the following distribution. (a) 0.25 (b) 3 (c) 3.1 (d) 4 (e) 4.1 The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and rainy at the same time is 10%. Calculate 5. the probability that it is either sunny or rainy. (a) 0.6 (b) 0.7 (c) 0.8 (d) 0.9 (e) 1 6. the probability it is not rainy. (a) 0.6 (b) 0.7 (c) 0.8 (d) 0.9 (e) 1 7. the probability it is neither rainy nor sunny. (a) 0.3 (b) 0.5 (c) 0.7 (d) 0.8 (e) 0.9 8. the probability it is sunny given that it is rainy. (a) 0.1 (b) 0.2 (c) .25 (d) 1/3 (e) 0.50 9. Which of the following is true? (a) “Sunny” and “Rainy” are disjoint and independent events. (b) “Sunny” and “Rainy” are

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