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Let $Y$ be a random variable. In a population, $μ_{Y}=116$ and $σ_{Y}=58$. 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 $n=153$, find $Pr(Yˉ<119)$. $Pr(Yˉ<119)=$ (Round your response to four decimal places) In a random sample of size $n=112$, find $Pr(118<Yˉ<121)$. $Pr(118<Yˉ<121)=$ (Round your response to four decimal places) In a random sample of size $n=188$, find $Pr(Yˉ>118)$. $Pr(Yˉ>118)=$ (Round your response to four decimal places)

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