At a polling station, the amount of time it takes a given voter to cast their vote after arriving at the station can be modeled by an exponential distribution with 3 = 3.584 minutes random sample of 61 voters are observed. Let Y be the amount of time it takes each voter to cast their vote. Use this information to answer the following questions. a. Describe the distribution of the sample mean Y. Round all values to at least FIVE decimals if necessary with a mean μy of The distribution of Y is ? minutes and a standard deviation of minutes. b. What is the probability that the average amount of time it takes voters to cast their vote in this sample is at least 3.93 minutes? Round to at least FIVE decimals if necessary Answer: c. What is the probability that, for an individual voter, the amount of time it takes them to cast their vote is less than 4 minutes? n

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At a polling station, the amount of time it takes a given voter to cast their vote after arriving at the station can be modeled by an exponential distribution with 3 = 3.584 minutes. A
random sample of 61 voters are observed. Let Y be the amount of time it takes each voter to cast their vote. Use this information to answer the following questions.
a. Describe the distribution of the sample mean Y. Round all values to at least FIVE decimals if necessary
The distribution of Y is ?
with a mean of
My
minutes and a standard deviation of
oy
minutes.
b. What is the probability that the average amount of time it takes voters to cast their vote in this sample is at least 3.93 minutes?
Answer: Round to at least FIVE decimals if necessary
c. What is the probability that, for an individual voter, the amount of time it takes them to cast their vote is less than 4 minutes?
Answer: Round to at least FIVE decimals if necessary
Transcribed Image Text:At a polling station, the amount of time it takes a given voter to cast their vote after arriving at the station can be modeled by an exponential distribution with 3 = 3.584 minutes. A random sample of 61 voters are observed. Let Y be the amount of time it takes each voter to cast their vote. Use this information to answer the following questions. a. Describe the distribution of the sample mean Y. Round all values to at least FIVE decimals if necessary The distribution of Y is ? with a mean of My minutes and a standard deviation of oy minutes. b. What is the probability that the average amount of time it takes voters to cast their vote in this sample is at least 3.93 minutes? Answer: Round to at least FIVE decimals if necessary c. What is the probability that, for an individual voter, the amount of time it takes them to cast their vote is less than 4 minutes? Answer: Round to at least FIVE decimals if necessary
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