Question

(4 points)
The number of pedestrians using a busy crosswalk can be modeled by a Poisson distribution with λ=50.2805 pedestrians per hour. Suppose you randomly pick 38 different one-hour time frames during which you observe the crosswalk. Let X be the number of pedestrians you observe in each of these 38 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
?
with a mean μX of
equation editor pedestrians and a standard deviation σX of
equation editor pedestrians.

The distribution of X¯¯¯¯ is
?
with a mean μX¯¯¯¯¯ of
equation editor pedestrians and a standard deviation σX¯¯¯¯¯ of
equation editor pedestrians.


b. What is the probability that the average number of pedestrians using the crosswalk per hour in this sample will be between 48.82 and 52.54?
Answer:
equation editor 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 46?
Answer:
equation editor Round to at least five decimals if necessary


d. 37% of the time, the average number of pedestrians using the crosswalk for a sample of 38 one-hour time frames will be at most how many?
Answer:
equation editor pedestrians. Round to at least five decimals if necessary

Answer 1

Answer:

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Explanation:

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