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Chapter 5: Q. T5.1 (page 357)
What is the probability that the person owns a Dodge or has four-wheel drive?
The correct option is :
d.
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Grandkids Mr. Starnes and his wife have grandchildren: Connor, Declan, Lucas, Piper, Sedona, and Zayne. They have extra tickets to a holiday show, and will randomly select which grandkids get to see the show with them.
a. Give a probability model for this chance process.
b. Find the probability that at least one of the two girls (Piper and Sedona) get to go to the show.
Double fault!A professional tennis player claims to get of her second serves in. In a recent match, the player missed of her first second serves. Is this a surprising result if the player鈥檚 claim is true? Assume that the player has a probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss or more of her first second serves.
a. Describe how to use a random number generator to perform one trial of the simulation. The dot plot displays the number of second serves missed by the player out of the first second serves in simulated matches.
b. Explain what the dot at represents.
c. Use the results of the simulation to estimate the probability that the player would miss or more of her first second serves in a match.
d. Is there convincing evidence that the player misses more than of her second serves? Explain 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.
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.
Colorful disksA jar contains disks: each of four colors鈥攔ed, green, blue, and Page Number: yellow. Each set of disks of the same color is numbered from to . Suppose you draw one disk at random from the jar. Define events : get a red disk, and : get a disk with the number .
a. Make a two-way table that describes the sample space in terms of events and .
b. Find and .
c. Describe the event 鈥�and 鈥� in words. Then find the probability of this event.
d. Explain why Then use the general addition rule to compute
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