Question

according to the Census and Statistics Department, about 10% of commuters in this city will drive to work alone. Suppose 200 commuters are randomly selection in this city. a) What is the probability that fewer than 30 commuters drive to work alone in this city? [5 marks] b) What is the probability that more than 25 commuters drive to work alone? [5 marks]

Name: according to the census and statistics department about 10 of commuters in this city will drive to work alone suppose 200 commuters are randomly selection in this city a what is the probability that f
Uploaded: 2022-04-18T16:11:59-08:00
Duration: 5 min 34 s
Channel: Ahmad Reda
Description: according to the census and statistics department about 10 of commuters in this city will drive to work alone suppose 200 commuters are randomly selection in this city a what is the probability that f

          according to the Census and Statistics Department, about 10% of commuters in this
city will drive to work alone. Suppose 200 commuters are randomly selection in this
city.
a) What is the probability that fewer than 30 commuters drive to work alone in this
city? [5 marks]
b) What is the probability that more than 25 commuters drive to work alone? [5
marks]

Added by Sam C.

Statistics for Business and Economics

David R. Anderson, Dennis J. Sweeney,… 10th Edition

Chapter 5

Instant Answer

Solved by Expert Ahmad Reda

04/18/2022

Step 1

Given: - Mean (μ) = 0.1 - Variance (σ^2) = 4.1 * 0.9 / 200 = 0.01845 - Standard Deviation (σ) = √0.01845 ≈ 0.1357 We need to find P(X < 30/200) = P(X < 0.15) Using the Z-score formula: Z = (X - μ) / σ Z = (0.15 - 0.1) / 0.1357 ≈ 0.369 Looking up the Z-score of Show more…

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according to the Census and Statistics Department, about 10% of commuters in this city will drive to work alone. Suppose 200 commuters are randomly selection in this city. a) What is the probability that fewer than 30 commuters drive to work alone in this city? [5 marks] b) What is the probability that more than 25 commuters drive to work alone? [5 marks]