school,would he SAT sccrs (out of 2400) are dstrbuted nermally with a mean of 1s

Question

school,would he SAT sccrs (out of 2400) are dstrbuted nermally with a mean of 1s0u and a standard deviation of 300. Suppose a school council awards a cerificate of excellence to al students who score at least 1900 en the SAT, and suppose we pick on of the recognized students at random. what i, hhe prnbanity this student's scare wil be at least 2200? The matenal covered n section .2 would he usaful for this qiAshon. Rnund your answer to two dermal places. 1 ce You may need to use the appropriate table in th Appencix of lables to answer this quetion.

Explanation / Answer

Here x follows N(1500,300^2)

And we need to find P(x>=2200)=P(z>=((2200-1500)/300)=P(z>=2.33)=0.0099

So 0.99%

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