Question

Exercise 3 (Discrete Probability) The 2016 United States presidential election has been an interesting contest. A Fox News National Poll from June which surveyed 1004 registered voters placed former New Mexico Governor Gary Johnson in third place. which is expected, however polling in the double digits at 12%. (Third party candidates haven't performed well in recent years. The last time a third party managed to get votes in the Electoral College was 1968.) Suppose the true proportion of registered voters that support Johnson is 12% and we obtain our own random sample of 50 registered voters. Answer the follows questions as they relate to this sample of 50 voters. (a) What is the probability that exactly 5 of the voters are Johnson supporters? (b) What is the probability that 10 or fewer voters are Johnson supporters? (c) What is the probability that 37 or more voters are not Johnson supporters? (d) What is the probability that between 3 and 9 (inclusive) voters are Johnson supporters?

Answer 1