Tree Diagrams Tomorrow!

I'm proud of how well we've done with probability thus far! Keep up the great work!

Tonight, please complete the following:

• The AP problem on the back of your quiz
• The 2 Venn Diagram problems provided in class (Period E: you did not get these, but you'll have to do them--so the problems are below if you want to get them done tonight!)

AP Problem:

A tire manufacturer designed a new tread pattern for its all-weather tires. Repeated tests were conducted on cars of approximately the same weight traveling at 60 miles per hour. The tests showed that the new tread pattern enables the cars to stop completely in an average distance of 125 feet with a standard deviation of 6.5 feet and that the stopping distances are approximately normally distributed.

   (a)    What is the cutoff for the 70^th percentile of the distribution of stopping distances?

   (b)   What is the probability that a car will stop in a distance greater than 130 feet?

   (c)    What is the probability that at least 1 car out of 5 randomly selected cars in the study will stop in a distance greater than 130 feet? 

    Venn Diagram Problems:

       1.) A representative sample of random pages of our text was taken, with the following result:

•48% of pages had some kind of data display•27% of pages had an equation•7% of pages had both a data display and an equation–Display these results in a Venn diagram.–What is the probability that a randomly selected sample page had neither a data display nor an equation?–What is the probability that a randomly selected sample page had a data display but no equation?

2.) Police report that 78% of drivers stopped on suspicion of drunk driving are given a breath test, 36% a blood test, and 22% both tests. What is the probability that a randomly selected DWI suspect is given:
–A test?
–A blood test or a breath test, but not both?–Neither test?