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Chapter 4: Q. 92 (page 293)

A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 70%of the questions correct.

Short Answer

Expert verified

The probability of having70%answer is0.11719

Step by step solution

01

Given information 

The probability of success (POS) is a statistical concept that is widely utilized in the pharmaceutical business, as well as by health authorities, to aid decision-making.

The concept of probability of success is directly tied to conditional and predictive capacity.

02

Explanation 

The number of correct answers will be represented by a variable X.

With 12trials and a probability of 0.5, Xhas a binomial distribution.

Students must correctly answer 7questions in order to receive an 70%accurate response. As a result, the desired probability is,

P(X=7)=1070.510=0.11719

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In words, define the random variable X.

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