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Co Updates Ready to Insta Some apps could not be updated LEARN y Institution My Courses Community Content o Save & End Certify Lesson: 7.1 Introduction to Probability ARIELLE NEWBY Question 4 of 14, Step 1 of 1 3/14 Correct A recent survey showed that 71 full-time employees out of a sample of 500 did not use all of their vacation days last year. However, 86 of those studled expressed a desire for more vacation time. Based on this sample, if a full-time employee is chosen at random, what is the probability that he or she is content with the vacation allowance? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth. ie Keypad How to enter your answer ©2017 H

Explanation / Answer

proportion of employees did not use their vacations p = 71/500 = 0.142

proportion of employees who expressed desire for more vacations q = 86/500 = 0.172

Proportion of employees who are content with vacation allowance = 1 - 0.172 = 0.828

Hence required probability that a randomly chosen employee is content with the vacation allowance is 0.828

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