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In an exit poll, for which the sample size was 3130, suppose that 65% of all voters voted for a recall. Answer the following questions. a. Define a binary random variable taking values 0 and 1 that represent the vote for a particular voter (1 = vote for recall). State its probability distribution. Choose the sentence below that best describes the probability distribution. OA. For each random sample of 3130 people, about 1096 people voted for recall and 2035 did not. B. The binary random variable is the vote for the recall with yes or no. For each observation, P(1) = 0.65 and P(0) = 0.35. OC. For each random sample of 3130 people, about 2035 people voted for recall and 1096 did not. OD. The binary random variable is the vote for the recall with yes or no. For each observation, P(1) = 0.35 and P(0) = 0.65. b. Find the mean and standard deviation of the sampling distribution of the proportion of the 3130 people in the sample who voted for the recall. mean = 0.65 (Round to two decimal places as needed.) standard deviation = (Round to four decimal places as needed.)

In an exit poll, for which the sample size was 3130, suppose that 65% of all voters voted for a recall. Answer the following questions. a. Define a binary random variable taking values 0 and 1 that represent the vote for a particular voter (1 = vote for recall). State its probability distribution. Choose the sentence below that best describes the probability distribution. OA. For each random sample of 3130 people, about 1096 people voted for recall and 2035 did not. B. The binary random variable is the vote for the recall with yes or no. For each observation, P(1) = 0.65 and P(0) = 0.35. OC. For each random sample of 3130 people, about 2035 people voted for recall and 1096 did not. OD. The binary random variable is the vote for the recall with yes or no. For each observation, P(1) = 0.35 and P(0) = 0.65. b. Find the mean and standard deviation of the sampling distribution of the proportion of the 3130 people in the sample who voted for the recall. mean = 0.65 (Round to two decimal places as needed.) standard deviation = (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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In an exit poll, for which the sample size was 3130, suppose that 65% of all voters voted for a recall. Answer the following questions. a. Define a binary random variable taking values 0 and 1 that represent the vote for a particular voter (1 = vote for recall). State its probability distribution. Choose the sentence below that best describes the probability distribution. A. For each random sample of 3130 people, about 1096 people voted for recall and 2035 did not. B. The binary random variable is the vote for the recall with yes or no. For each observation, P(1) = 0.65 and P(0) = 0.35. C. For each random sample of 3130 people, about 2035 people voted for recall and 1096 did not. D. The binary random variable is the vote for the recall with yes or no. For each observation, P(1) = 0.35 and P(0) = 0.65. b. Find the mean and standard deviation of the sampling distribution of the proportion of the 3130 people in the sample who voted for the recall. mean = 0.65 (Round to two decimal places as needed.) standard deviation = (Round to four decimal places as needed.)
Transcribed Image Text:In an exit poll, for which the sample size was 3130, suppose that 65% of all voters voted for a recall. Answer the following questions. a. Define a binary random variable taking values 0 and 1 that represent the vote for a particular voter (1 = vote for recall). State its probability distribution. Choose the sentence below that best describes the probability distribution. A. For each random sample of 3130 people, about 1096 people voted for recall and 2035 did not. B. The binary random variable is the vote for the recall with yes or no. For each observation, P(1) = 0.65 and P(0) = 0.35. C. For each random sample of 3130 people, about 2035 people voted for recall and 1096 did not. D. The binary random variable is the vote for the recall with yes or no. For each observation, P(1) = 0.35 and P(0) = 0.65. b. Find the mean and standard deviation of the sampling distribution of the proportion of the 3130 people in the sample who voted for the recall. mean = 0.65 (Round to two decimal places as needed.) standard deviation = (Round to four decimal places as needed.)
Expert Solution
Step 1

(b )

 

Obtain the mean of the sampling distribution of the proportion of the 3130 people in the sample who voted for the recall.

 

The mean of the sampling distribution of the proportion of the 3130 people in the sample who voted for the recall is obtained below as follows:

 

Let the random variable X follows binomial distribution with

 

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