Let Y be a random variable. In apopulation, Y=103 and 2Y=52. Use the central limit theorem to answer the following questions.(Note: any intermediate results should be rounded to four decimalplaces)

In a random sample of size n= 77, find PrY<104.

PrY<104 >

nothing

(Round your response to four decimal places)

In a random sample of size n= 164, find Pr105<Y<107.

Pr105<Y<107 >

nothing

(Round your response to four decimal places)

In a random sample of size n= 105, find PrY>105.

PrY>105 =

nothing

(Round your response to four decimal places)