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You are interested in finding out the mean number of customers entering a 24-hour convenience store every 10-minutes. You suspect this can be modeled by the Poisson distribution with a a mean of λ = 4.77 customers. You are to randomly pick n = 74 10-minute time frames, and observe the number of customers who enter the convenience store in each. After which, you are to average the 74 counts you have. That is, compute the value of X. (a) What can you expect the value of ✗ to be? Enter your answer using all the decimals you can. (b) Find the value of the standard deviation of X. Enter your answer using all the decimals you can. σχ (c) Find the probability that mean of the sample of 74 is between 1.6 and 4.9. If rounding only round once, at the end do not round before that. Ensure you use at least four decimals in your z-values. P(1.6 ≤ X ≤ 4.9) = ☐ Use at least four decimals in your answer. (d) 92% of the time, the observed value of X will exceed what value? (use at least four decimals in your answer)

You are interested in finding out the mean number of customers entering a 24-hour convenience store every 10-minutes. You suspect this can be modeled by the Poisson distribution with a a mean of λ = 4.77 customers. You are to randomly pick n = 74 10-minute time frames, and observe the number of customers who enter the convenience store in each. After which, you are to average the 74 counts you have. That is, compute the value of X. (a) What can you expect the value of ✗ to be? Enter your answer using all the decimals you can. (b) Find the value of the standard deviation of X. Enter your answer using all the decimals you can. σχ (c) Find the probability that mean of the sample of 74 is between 1.6 and 4.9. If rounding only round once, at the end do not round before that. Ensure you use at least four decimals in your z-values. P(1.6 ≤ X ≤ 4.9) = ☐ Use at least four decimals in your answer. (d) 92% of the time, the observed value of X will exceed what value? (use at least four decimals in your answer)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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You are interested in finding out the mean number of customers entering a 24-hour convenience store every 10-minutes. You suspect this can be modeled by the Poisson distribution with a a mean of λ = 4.77 customers. You are to randomly pick n = 74 10-minute time frames, and observe the number of customers who enter the convenience store in each. After which, you are to average the 74 counts you have. That is, compute the value of X. (a) What can you expect the value of ✗ to be? Enter your answer using all the decimals you can. (b) Find the value of the standard deviation of X. Enter your answer using all the decimals you can. σχ (c) Find the probability that mean of the sample of 74 is between 1.6 and 4.9. If rounding only round once, at the end do not round before that. Ensure you use at least four decimals in your z-values. P(1.6 ≤ X ≤ 4.9) = ☐ Use at least four decimals in your answer. (d) 92% of the time, the observed value of X will exceed what value? (use at least four decimals in your answer)
Transcribed Image Text:You are interested in finding out the mean number of customers entering a 24-hour convenience store every 10-minutes. You suspect this can be modeled by the Poisson distribution with a a mean of λ = 4.77 customers. You are to randomly pick n = 74 10-minute time frames, and observe the number of customers who enter the convenience store in each. After which, you are to average the 74 counts you have. That is, compute the value of X. (a) What can you expect the value of ✗ to be? Enter your answer using all the decimals you can. (b) Find the value of the standard deviation of X. Enter your answer using all the decimals you can. σχ (c) Find the probability that mean of the sample of 74 is between 1.6 and 4.9. If rounding only round once, at the end do not round before that. Ensure you use at least four decimals in your z-values. P(1.6 ≤ X ≤ 4.9) = ☐ Use at least four decimals in your answer. (d) 92% of the time, the observed value of X will exceed what value? (use at least four decimals in your answer)
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