Question

Suppose that a survey of registered voters shows that 58% of people surveyed are in favor of changing the constitution to eliminate use of the electoral college in presidential elections.

Define a success as "a person is in favor of the change".

(a) What is p, the probability of success on a single trial? _______ (show 2 decimal places)

(b) You decide to conduct a very small survey using 10 people to see whether you get similar results. For your survey, what is n?

(c) If you conduct 10 trials, what is the probability that you observe exactly 5 people in favor of the change?
P(X = 5) =________(round to 3 decimal places)

(d) What is the probability that you observe either 5 or 6 people who are in favor of the change?
P(5 or 6 people are in favor) =________  (round to 3 decimal places)

(e) What is the probability that everyone you survey is in favor of the change?
P(all 10 people are in favor) =__________  (round to 3 decimal places)

(f) If you conducted your survey of 10 people multiple times, what is the long term average number of successes (people in favor of the change) you would expect to see in 10 trials? E(X) = mean =__________ (use one decimal place)

Answer 1

the solution for (a),(b) and (c).

the solution for (d),(e) and (f).