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The management of a business concern will be making a decision whether to upgrade their office...

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Basic Math

The management of a business concern will be making a decisionwhether to upgrade their office desktops to Windows 10 from Windows7. However the management wants to see whether the employees arefeeling comfortable in using Windows 10. A one-day training wasorganized on Windows 10, where all the personnel participated, ofwhom 20% are secretaries (A). After the seminar a survey was taken.It shows that among secretaries 55% want upgrade to Windows 10(W10), 17% want no change from Windows 7 (W7), 28% have nopreference (NP). Among non-secretarial employees the respectivepercentages are 39%, 55% and 6%.

If a personnel is selected at random, what is the probabilitythat she is not a secretary, given that she made a definitepreference? Answer to 3 digits after decimal.

Answer & Explanation Solved by verified expert
4.2 Ratings (889 Votes)

From the given data, the following Table is calculated:

Upgrade to Windows 10 No change from Windows 7 No preferences Total
Secretary 0.20X0.55=0.11 0.20X0.17=0.034 0.20X0.28=0.056 0.20
Not a secretary 0.80X0.39=0.312 0.80X0.55=0.44 0.80X0.06=0.048 0.80
Total 0.422 0.474 0.104 1.00

P(Not a secretary/ Preference) = P(Not a secretary AND Preference)/ P(Preference)

                                           = 0.752/0.896

                                           = 0.839

So,

Answer is:

0.839
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