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SAT scores have a mean of 1000 and a standard deviation of 220. Q18: What is...

SAT scores have a mean of 1000 and a standard deviation of 220.

Q18: What is the probability that a random student will score more than 1400?

Q19: Using the Central Limit Theorem, what is the probability that sample of 100 students will have an average score less than 990?

Q20: Using the Central Limit Theorem, what is the probability that sample of 100 students will have an average score between 990 and 1010?

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math   Statistics-And-Probability   
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Answer #1

18) probability that a random student will score more than 1400 =P(X>1400)=1-P(X<1400)=1-norm.dist(1400,1000,220,true)

=0.034518

19)

probability that sample of 100 students will have an average score less than 990 =P(Xbar<990)=norm.dist(990,1000,220/sqrt(100),true)=0.3247

20)

probability that sample of 100 students will have an average score between 990 and 1010 =norm.dist(1010,1000,220/sqrt(100),true)-norm.dist(990,1000,220/sqrt(100),true)=0.350564

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