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Chapter 4: Q. 93 (page 293)

A student takes a 32-question multiple-choice exam, but did not study and randomly guesses each answer. Each question has three possible choices for the answer. Find the probability that the student guesses more than 75%of the questions correctly.

Short Answer

Expert verified

The probability of getting quite 75%of the 32 questions correct when randomly guessing is incredibly small and practically zero.

Step by step solution

01

Given information

A student takes a 32-question multiple-choice exam, but didn't study and randomly guesses each answer.

Each question has three choices forthe solution. .

02

Explanation

X = number of questions answered correctly

X~B(32,1/3)

We have an interest in additional THAN questions75%of32questions correct. 75%of32is 24. we wish to seek out P(x>24).

The event "more than 24" is that the complement of "less than or adequate to 24."

鈥� Using your calculator's distribution menu: 1鈥�binomcdf(32,13,24)

鈥� P(x>24)=0

鈥� The probability of getting quite75%ofthe32questions correct when randomly guessing is incrediblysmall and practically zero.

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