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According to the website RentJungle.com, the average price of a one-bedroom apartment in Portland is $1350 per month with a standard deviation of $200. A small sample of 35 random apartments gave a sample mean cost of $1420. Use the information to answer the following questions.
a.) Find the mean of the sampling distribution for X.
b.) Find the standard deviation of the sampling distribution for X.
c.) Find the probability that the sample mean cost of 35 apartments cost less than $1420.
d.) Find the probability that the sample mean cost of 35 apartments cost more than $1420.
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