A manufacturer tests a certain number of the headsets that are produced each day, with approximately \( 3 \% \) of the headsets found defective. If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, there is a defective headset. If the theoretical model is valid, and 1,000 units of that model are tested, the company would expect the empirical probability to stay the same increase

A manufacturer tests a certain number of the headsets that are produced each day, with approximately \( 3 \% \) of the headsets found defective. If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, there is a defective headset. If the theoretical model is valid, and 1,000 units of that model are tested, the company would expect the empirical probability to stay the same increase

The probability of getting \( 80 \% \) or more of 28. the questions correct on a 10 - question truefalse exam merely by guessing is (A) \( 5 / 32 \) (B) \( 1 / 16 \) (C) \( 3 / 16 \) (D) \( 7 / 128 \)

If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card?

Select the correct answer from each drop-down menu. A manufacturer tests a certain number of the headsets that are produced each day, with approximately \( 3 \% \) of the headsets found defective. If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, there is a defective headset. If the theoretical model is valid, and 1,000 units of that model are tested, the company would expect the empirical probability to \( \square \)

6. Rainy Days A weather forecast system predicts rain using three models: \( M_{1}, M_{2}, M_{3} \). - \( M_{1} \) is used \( 50 \% \) of the time, \( M_{2} 30 \% \), and \( M_{3} 20 \% \). - The probabilities of correctly predicting rain are \( 85 \%, 80 \% \), and \( 90 \% \) for \( M_{1}, M_{2} \), and \( M \) respectively. A random day is selected. - What is the probability that rain is correctly predicted?