Question
In: Statistics and Probability
Suppose a poll of 20 voters is taken in a large city. The purpose is to...
Suppose a poll of 20 voters is taken in a large city. The purpose is to determine x, the number who favor a certain candidate for mayor. Suppose that 40% of all the city’s voters favor the candidate.
a. Find the mean and standard deviation of x.
b. What is the probability that x <=10.
c. Find the probability that x > 12.
d. Find the probability that x = 11
e. Graph the probability distribution of x.
Solutions
Expert Solution
Solution: We are given:
a. Find the mean and standard deviation of x.
Answer: The mean and standard deviation of x is:
b. What is the probability that x <=10.
Answer: We have to find:
c. Find the probability that x > 12.
Answer: We have to find:
d. Find the probability that x = 11
Answer: We have to find
e. Graph the probability distribution of x.
Answer: The probability distribution of x is given below:
| x | P(x) |
| 0 | 0.00004 |
| 1 | 0.00049 |
| 2 | 0.00309 |
| 3 | 0.01235 |
| 4 | 0.03499 |
| 5 | 0.07465 |
| 6 | 0.12441 |
| 7 | 0.16588 |
| 8 | 0.17971 |
| 9 | 0.15974 |
| 10 | 0.11714 |
| 11 | 0.0710 |
| 12 | 0.03550 |
| 13 | 0.01456 |
| 14 | 0.00485 |
| 15 | 0.00129 |
| 16 | 0.00027 |
| 17 | 0.00004 |
| 18 | 0.00000 |
| 19 | 0.00000 |
| 20 | 0.00000 |
The graph of the probability distribution of x is:
orchestra answered 1 year agoRelated Solutions
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