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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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Most popular questions from this chapter

More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 13 such institutions. We are interested in the number that offer distance learning courses.

a. In words, define the random variable X.

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