1. The average cost of rent for a one-bedroom apartment in New York, NY is $2856 per month with a standard deviation of $233. Assume that the data is bell-shaped symmetric. Use the Empirical Rule to find each of the following. (Do not use z-scores!!!!!) a) Find the proportion of people in New York, NY who pay between $2157 and $3089 per month to rent a one-bedroom apartment. b) Find the probability that people in New York, NY who pay no more than $3322 per month to rent a one-bedroom apartment. c) Find the proportion of people in New York, NY who pay more than $2623 per month to rent a one- bedroom apartment.

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1. The average cost of rent for a one-bedroom apartment in New York, NY is $2856 per month with
a standard deviation of $233. Assume that the data is bell-shaped symmetric. Use the
Empirical Rule to find each of the following. (Do not use z-scores!!!!!)
a) Find the proportion of people in New York, NY who pay between $2157 and $3089 per month to
rent a one-bedroom apartment.
b) Find the probability that people in New York, NY who pay no more than $3322 per month to rent
a one-bedroom apartment.
c) Find the proportion of people in New York, NY who pay more than $2623 per month to rent a one-
bedroom apartment.
d) Between which two values does the middle 95% of the data lie?
e) Between which two values does the middle 68% of the data lie?
f) Using only the Empirical Rule, explain why it is not possible to find the proportion of people in New
York, NY who pay at least $2500 per month to rent a one-bedroom apartment.
Transcribed Image Text:1. The average cost of rent for a one-bedroom apartment in New York, NY is $2856 per month with a standard deviation of $233. Assume that the data is bell-shaped symmetric. Use the Empirical Rule to find each of the following. (Do not use z-scores!!!!!) a) Find the proportion of people in New York, NY who pay between $2157 and $3089 per month to rent a one-bedroom apartment. b) Find the probability that people in New York, NY who pay no more than $3322 per month to rent a one-bedroom apartment. c) Find the proportion of people in New York, NY who pay more than $2623 per month to rent a one- bedroom apartment. d) Between which two values does the middle 95% of the data lie? e) Between which two values does the middle 68% of the data lie? f) Using only the Empirical Rule, explain why it is not possible to find the proportion of people in New York, NY who pay at least $2500 per month to rent a one-bedroom apartment.
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