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Please show all work. Thank you! The amount of money requested on home loan applications at America...

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Basic Math

Please show all work. Thank you!

The amount of money requested on home loan applications atAmerica Bank follows normal distribution, with a mean of $180,000and a standard deviation of $6,000. A loan application is receivedthis morning.

a) What is the probability the amount requested is $190,000 ormore?

b) What is the probability the amount requested is between$178,000 and $190,000?

c) What is the probability the amount requested in below$178,000?

d) How much is requested on the largest 5% of the loans?

e) How much is requested on the smallest 5% of the loans?

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