Copyright © 2010 Pearson Education, Inc. Which of the following probability experiments represents a binomial experiment? Asking 50 adults the amount of their last cell phone bill Asking 10 prisoners the number of crimes for which they were convicted Asking 20 students the name of their favorite television show Asking 30 homeowners if they would favor a new tax to support education Copyright © 2010 Pearson Education, Inc. Slide 6- 1

Copyright © 2010 Pearson Education, Inc. Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the probability exactly 5 of the marriages will end in divorce. Copyright © 2010 Pearson Education, Inc. Slide 6- 2

Copyright © 2010 Pearson Education, Inc. Forty-four percent of college students have engaged in binge drinking. If two college students are randomly selected, what is the probability that both have engaged in binge drinking? Copyright © 2010 Pearson Education, Inc. Slide 5- 3 3

Copyright © 2010 Pearson Education, Inc. The table shows the favorite pizza topping for a sample of students. One of these students is selected at random. Find the probability the student is female or prefers sausage. Cheese Pepperoni Sausage Total Male 8 5 2 15 Female 4 3 9 10 24 Copyright © 2010 Pearson Education, Inc. Slide 5- 4 4

Copyright © 2010 Pearson Education, Inc. Determine the required value of the missing probability to make the distribution a discrete probability distribution. x P(x) 0.25 1 0.30 2 ? 3 0.10 Copyright © 2010 Pearson Education, Inc. Slide 6- 5

Copyright © 2010 Pearson Education, Inc. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability a randomly selected person has an IQ score greater than 120. Copyright © 2010 Pearson Education, Inc. Slide 7- 6

Forty two percent of children say they prefer Chunky Peanut Butter.If a random sample of 83 children are questioned: Find the probability that less than 28 of them prefer Chunky Peanut Butter. Find the probability that at least 25 but not more than 62 prefer Chunky Peanut Butter.

Copyright © 2010 Pearson Education, Inc. Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the mean and standard deviation for the number of marriages that will end in divorce. Copyright © 2010 Pearson Education, Inc. Slide 6- 8

Copyright © 2010 Pearson Education, Inc. Use the graph of the given normal distribution to identify μ and σ. μ = 80 and σ = 36 μ = 80 and σ = 6 μ = 62 and σ = 98 μ = 6 and σ = 80 62 86 68 74 80 92 98 X Copyright © 2010 Pearson Education, Inc. Slide 7- 9

Copyright © 2010 Pearson Education, Inc. A box contains 6 twenty-five watt light bulbs, 9 sixty-watt light bulbs, and 5 hundred-watt light bulbs. What is the probability a randomly selected light bulb is sixty-watts? Copyright © 2010 Pearson Education, Inc. Slide 5- 10 10

Copyright © 2010 Pearson Education, Inc. True or false. The following represents a probability model. Cell Phone Provider Probability AT&T 0.271 Sprint 0.236 T–Mobile 0.111 Verizon 0.263 Copyright © 2010 Pearson Education, Inc. Slide 5- 11 11

Copyright © 2010 Pearson Education, Inc. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Determine the 90th percentile for IQ scores. Copyright © 2010 Pearson Education, Inc. Slide 7- 12