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 ago

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