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# Binomial Applications

APSTAT-VALF6X

A student is taking a $10$-question multiple choice test that has five options for each question (A, B, C, D, and E).

Suppose a student knows the correct answer to $6$ of the questions. For the remaining $4$ questions, the student can eliminate one response per question, on average.

What is the probability the student gets at least an $80\%$ on the test?

A

$0.2109$

B

$0.0823$

C

$0.3023$

D

$0.2617$

E

$0.5233$