Probability Applications

Theoretical and Experimental Events (Page 8 of 9) 8. A soft drink factory produces 1700 bottles a day. The factory tested a sample of 250 units and found that 7 were defective. By calculating the experimental probability that a bottle is defective, determine how many defective bottles would be expected in a week (the factory runs 7 days a week).

• 333 bottles/week

• 49 bottles

• 7 bottles

• 242 bottles

How do you communicate "the the probability the first roll is a 5 and the second roll is not a 5?"

• P(5)⋅P(5')

• P(5⋃5')

• P(5⋂5')

• 1-P(5)

What is the probability of an education major (marginal probability)

• 31.5%

• 31.7%

• 30.0%

• 21.0%

What is the probability of an education major from PA (conditional probability)

• 33.3%

• 100%

• 30.0%

• 9.45%

If a student that took Clare's survey is selected at random, what is the probability that they said they like to swim, and their favorite season is summer?

GaDOE More School, Please (Page 6 of 6)

6. What is the probability that the person has a high school diploma and makes $30,000 or less?

• 21%

• 89%

• 30%

• 26.7%

The probabilities of states of nature after revising the prior probabilities based on sample information is

• Prior Probability

• Posterior Probability

• Conditional Probability

• Marginal Probability