Use the following table to answer questions (23) - (25). A random sample of coll

Question

Use the following table to answer questions (23) - (25). A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. One question, summarized in the table below, asked each respondent to choose the one activity that they arc most likely to participate in on a Saturday morning. The activity choices were homework, housework, outside employment, recreation or other. What is the probability a student from the sample chose Homework or Recreation as their most likely Saturday morning activity? 63.5% 72.5% 39.5% 54.5% Given that a student is male, what is the probability be is most likely at his outside employment on a Saturday morning? 0.322 0.565 0.208 0.153 Are gender and most likely Saturday morning activity independent events? Yes No Not enough information (26. Extra Credit) Assume the weights of Orca whales are unmoral and symmetric. An Orca weighing 3 standard deviations above average weighs 12.000 pounds and an Orca weighing 3 standard deviations below average weighs 7.000 pounds. Which of the following is the best estimate of the standard nation of the w eight of Oreos? 642 pounds 335 pounds 925 pounds 833 pounds 167 pounds

Explanation / Answer

23.

P(Hom U Rec) = (47+62)/200 = 0.545 [OPTION D]

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24.

P(Emp|Male) = 20/96 = 0.208 [ANSWER, C]

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25.

Here,

P(Employment) = 46/200 = 0.23

As

P(Emp|Male) =/= P(Employment)

Then

OPTION B: NO, THEY ARE NOT INDEPENDENT EVENTS. [ANSWER]

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