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Chapter 5: Q. T5.3 (page 357)
A spinner has three equally sized regions: blue, red, and green. Jonny spins the spinner times and gets blues in a row. If he spins the spinner more times, how many more blues is he most likely to get?
The correct option is :
b. more blues is he most likely to get.
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The two-way table summarizes data on whether students at a certain high school eat
regularly in the school cafeteria by grade level.
a. If you choose a student at random, what is the probability that the student eats
regularly in the cafeteria and is not a grader?
b. If you choose a student at random who eats regularly in the cafeteria, what is the probability that the student is a grader?
c. Are the events 鈥�grader鈥� and 鈥渆ats regularly in the cafeteria鈥� independent?
Justify your answer.
Notebook check Every weeks, Mr. Millar collects students' notebooks and checks their homework. He randomly selects different assignments to inspect for all of the students. Marino is one of the students in Mr. Millar's class. Marino completed homework assignments and did not complete assignments. He is surprised when Mr. Millar only selects assignment that he completed. Should he be surprised? To find out, we want to design a simulation to estimate the probability that Mr. Millar will randomly select or fewer of the homework assignments that Marino completed.
Get identical slips of paper. Write "" on 10 of the slips and "" on the remaining slips. Put the slips into a hat and mix well. Draw slip without looking to represent the first randomly selected homework assignment, and record whether Marino completed it. Put the slip back into the hat, mix again, and draw another slip representing the second randomly selected assignment. Record whether Marino completed this assignment. Repeat this process two more times for the third and fourth randomly selected homework assignments. Record the number out of the randomly selected homework assignments that Marino completed in this trial of the simulation. Perform many trials. Find the proportion of trials in which Mr. Millar randomly selects or fewer of the homework assignments that Marino completed.
Four-sided dice A four-sided die is a pyramid whose four faces are labeled
with the numbers and(see image). Imagine rolling two fair, four-sided dice and
recording the number that is showing at the base of each pyramid. For instance, you would
record a if the die landed as shown in the figure.
a. Give a probability model for this chance process.
b. Define event A as getting a sum of . Find P(A).
When did you leave? The National Household Travel Survey gathers data on the time of day when people begin a trip in their car or other vehicle. Choose a trip at random and record the time at which the trip started. Here is an assignment of probabilities for the outcomes :
a. What probability should replace 鈥�?鈥� in the table? Why?
b. Find the probability that the chosen trip did not begin between A.M. and P.M.
Body image A random sample of U.S. college students was asked, 鈥淲hat is your perception of your own body? Do you feel that you are overweight, underweight, or about right?鈥� The two-way table below summarizes the data on perceived body image by gender.
Suppose we randomly select one of the survey respondents.
a. Given that the person perceived his or her body image as about right, what鈥檚 the
probability that the person is female?
b. If the person selected is female, what鈥檚 the probability that she did not perceive her body image as overweight?
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