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please help this probability and statistics questions with clear explanation, thank you Question 1 (10 marks) There are 4200 members in a fitness center. A

please help this probability and statistics questions with clear explanation, thank you

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Question 1 (10 marks) There are 4200 members in a fitness center. A manager of the fitness center would like to conduct a survey in order to collect members' opinions about their service. He plans to include 12.5% of the members in this study. (a) Find the sample size of this survey. (b) Suggest a sampling frame for random sampling. (c) Systematic sampling method will be used to select the sample. Each member would be assigned a unique identity number from 0001 to 4200. Suppose it is known that member with identify number 0178 is selected for the survey. Write down the identify numbers of the next two members. (d) Below is an extract of the questionnaire. For each of the questions, state the type of data as qualitative, quantitative discrete or quantitative continuous. Question (i): How many days have you come to the fitness center from 1 October to 7 October? Question (ii): For the last visit, how long (in minutes) have you been staying in the fitness center? Question (iii): Which day in a week do you like to visit the fitness center the most? Monday / Tuesday / Wednesday / Thursday / Friday / Saturday / Sunday Question (iv): It is required to close the center for 1 hour in the afternoon for cleaning. Which of the following time would you suggest closing the center? 1:00 pm -2:00 pm / 2:00 pm - 3:00 pm / 3:00 pm - 4:00 pm / 4:00 pm - 5:00 pm

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