The average cost to rent a single-family home in Fort Pierce is $1,377 per month. Assume that the distribution of the monthly rent of all single-family homes in Fort Pierce is normally distributed with a standard deviation of $131. Use this information to determine the following probabilities. Round solutions to four decimal places, if necessary. Find the probability that a random sample of 142 homes in Fort Pierce has a mean rent less than $1,365. P(a < 1365) = Find the probability that a random sample of 142 homes in Fort Pierce has a mean rent between $1,365 and $1,376. P(1365 < a < 1376) %3D

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The average cost to rent a single-family home in Fort Pierce is $1,377 per month. Assume that the
distribution of the monthly rent of all single-family homes in Fort Pierce is normally distributed with a
8: standard deviation of $131. Use this information to determine the following probabilities. Round
solutions to four decimal places, if necessary.
Find the probability that a random sample of 142 homes in Fort Pierce has a mean rent less than Ş1,365.
P(i < 1365) =
%3D
Find the probability that a random sample of 142 homes in Fort Pierce has a mean rent between $1,365
and $1,376.
P(1365 < a < 1376)
%3D
Transcribed Image Text:The average cost to rent a single-family home in Fort Pierce is $1,377 per month. Assume that the distribution of the monthly rent of all single-family homes in Fort Pierce is normally distributed with a 8: standard deviation of $131. Use this information to determine the following probabilities. Round solutions to four decimal places, if necessary. Find the probability that a random sample of 142 homes in Fort Pierce has a mean rent less than Ş1,365. P(i < 1365) = %3D Find the probability that a random sample of 142 homes in Fort Pierce has a mean rent between $1,365 and $1,376. P(1365 < a < 1376) %3D
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