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Suppose X has a symmetric continuous probability distribution with E(X)=82, and P(X>100) =0.2, what is P(64<X<100)?...

Suppose X has a symmetric continuous probability distribution with E(X)=82, and P(X>100) =0.2, what is P(64<X<100)? (Hint: Remember E(X) or expected value of X, is the average of X)

A. 0.2

B. 0.3

C. 0.4

D. 0.6



30% of all corporations are publicly traded. We want to figure out the probability that in a sample of 500 companies, there are between 134 to 152 publicly traded companies. Which one of the following Normal approximation is the answer? (Hint: Don’t forget continuity correction)

A. P( 0.35< Z < 1.77)

B. P( 0.44< Z < 1.86)

C. P( -1.610< Z < 0.244)

D. P( -1.561< Z < 0.195)



There is a university that has its own admission exam. The top 8.6% performers in this exam are admitted. The exam is out of 400, and you know that the average score in this exam is 320 with the standard deviation is 24. What is the lowest score that you need in this exam to be admitted?

A. 280

B. 315

C. 344

D. 353

E. 368

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