Question

Let Y be a random variable. In a​ population, μY=103 and σ2Y=56. Use the central limit...

Let Y be a random variable. In a​ population,

μY=103

and

σ2Y=56.

Use the central limit theorem to answer the following questions.

​ (Note​:

any intermediate results should be rounded to four decimal​ places)

In a random sample of size n​ =

152​,

find

PrY <104.

PrY <104

​= ???

In a random sample of size n​ =

106​,

find

Pr106< Y <108.

Pr106< Y <108

​= ???

In a random sample of size n​ =

119​,

find

PrY >106.

PrY >106

​= ???

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