The number of pedestrians using a busy crosswalk can be modeled by a Poisson distribution with A = 56.1746 pedestrians per hour. Suppose you randomly pick 53 different one-hour time frames during which you obse the crosswalk. Let X be the number of pedestrians you observe in each of these 53 times frames. Use this information to answer the following questions. a. Describe the distribution of X and the distribution of the sample mean X. Round all values to at least five decimals if necessary The distribution of X is ? v with a mean x of pedestrians and a standard deviation ox of H pedestrians. The distribution of X is ? with a mean Hy of pedestrians and a standard deviation o, of pedestrians.

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The number of pedestrians using a busy crosswalk can be modeled by a Poisson distribution with A = 56.1746 pedestrians per hour. Suppose you randomly pick 53 different one-hour time frames during which you observe
the crosswalk, Let X be the number of pedestrians you observe in each of these 53 times frames. Use this information to answer the following questions.
a. Describe the distribution of X and the distribution of the sample mean X. Round all values to at least five decimals if necessary
The distribution of X is ?
vwith a mean uy of
pedestrians and a standard deviation ox of
pedestrians.
The distribution of X is ?
v with a mean x
of
pedestrians and a standard deviation o, of
pedestrians.
b. What is the probability that the average number of pedestrians using the crosswalk per hour in this sample will be between 54.2 and 57.24?
Answer:
Round to at least five decimals if necessary
c. What is the probability that the number of pedestrians using the crosswalk in a single one-hour time frame will be more than 50?
Answer:
Round to at least five decimals if necessary
d. 63% of the time, the average number of pedestrians using the crosswalk for a sample of 53 one-hour time frames will be at most how many?
Answer:
pedestrians. Round to at least five decimals if necessary
Transcribed Image Text:The number of pedestrians using a busy crosswalk can be modeled by a Poisson distribution with A = 56.1746 pedestrians per hour. Suppose you randomly pick 53 different one-hour time frames during which you observe the crosswalk, Let X be the number of pedestrians you observe in each of these 53 times frames. Use this information to answer the following questions. a. Describe the distribution of X and the distribution of the sample mean X. Round all values to at least five decimals if necessary The distribution of X is ? vwith a mean uy of pedestrians and a standard deviation ox of pedestrians. The distribution of X is ? v with a mean x of pedestrians and a standard deviation o, of pedestrians. b. What is the probability that the average number of pedestrians using the crosswalk per hour in this sample will be between 54.2 and 57.24? Answer: Round to at least five decimals if necessary c. What is the probability that the number of pedestrians using the crosswalk in a single one-hour time frame will be more than 50? Answer: Round to at least five decimals if necessary d. 63% of the time, the average number of pedestrians using the crosswalk for a sample of 53 one-hour time frames will be at most how many? Answer: pedestrians. Round to at least five decimals if necessary
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