Question: Discrete Probability Distributions

1. Define a discrete probability distribution, and create an example with at least 5 possible outcomes. For your example, compute the mean and standard deviation.
2. Which one of the following is NOT a condition of the binomial distribution?

1. Independent trials
2. Only two outcomes
3. Probability of success remains constant from trial to trial
4. At least 10 observations
   e) None of the above
   C) Judging from recent experience, 5 percent of the worm gears produced by an automatic, high-speed machine are defective. What is the probability that out of seven gears selected at random, exactly zero gears will be defective?
   
   D) Twelve cars are coming onto the WSUV campus to take a statistics exam. There is an 80 % chance they will find a convenient parking spot.
   1. How many cars can we expect to find a convenient parking spot?
   2. What is the likelihood that no more than 8 cars find a convenient parking spot?

c) What is the probability that at least 10 cars find a convenient spot?

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