Concept explainers
To find: The standard deviation of X.
Answer to Problem 3.2CYU
The standard deviation of X is 1.265.
Explanation of Solution
Given:
Number of questions = 10
Students are supposed to guess the answers.
X is a number of answers that Patti gives correct.
Probability of success ( p ) = 0.2
Formula used:
The formula to compute the mean using binomial distribution is:
Calculation:
The standard deviation of X is computed as:
Thus, the standard deviation of X is 1.265.
Interpretation:
The standard deviation of X shows that if questions are asked many times from the students, the number of correct guesses would differ from 2 by an average of 1.265.
Chapter 6 Solutions
The Practice of Statistics for AP - 4th Edition
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