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Chapter 5: Q. 58 (page 329)
If a player rolls a , it is called craps. What is the probability of getting craps or an even sum on one roll of the dice?
a.
b.
c.
d.
e.
The probability of getting craps or an even sum on one roll of the dice is (d)
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Brushing teeth, wasting water? A recent study reported that fewer than half of young adults turn off the water while brushing their teeth. Is the same true for teenagers? To find out, a group of statistics students asked an SRS of students at their school if they usually brush with the water off. In the sample, students said "Yes." The dotplot shows the results of taking SRSS of students from a population in which the true proportion who brush with the water off is .
a. Explain why the sample result (of the students said "Yes") does not give convincing evidence that fewer than half of the school's students brush their teeth with the water off.
b. Suppose instead that of the students in the class's sample had said "Yes." Explain why this result would give convincing evidence that fewer than of the school's students brush their teeth with the water off.
Reading the paper In a large business hotel, of guests read the Los Angeles Times. Only read the Wall Street Journal. Five percent of guests read both papers. Suppose we select a hotel guest at random and record which of the two papers the person reads, if either. What鈥檚 the probability that the person reads the Los Angeles Times or the Wall Street Journal?
The partially complete table that follows shows the distribution of scores on the AP庐
Statistics exam for a class of students.
Select a student from this class at random. If the student earned a score of 3 or higher
on the AP庐 Statistics exam, what is the probability that the student scored a 5?
Mike鈥檚 pizza - You work at Mike鈥檚 pizza shop. You have the following information about the 9 pizzas in the oven: 3 of the 9 have thick crust and 2 of the 3 thick-crust pizzas have mushrooms. Of the remaining 6 pizzas, 4 have mushrooms.
a. Are the events 鈥渢hick-crust pizza鈥� and 鈥減izza with mushrooms鈥� mutually exclusive? Page Number: 356 Justify your answer.
b. Are the events 鈥渢hick-crust pizza鈥� and 鈥減izza with mushrooms鈥� independent? Justify your answer.
c. Suppose you randomly select 2 of the pizzas in the oven. Find the probability that both have mushrooms.
Airport securityThe Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check prior to boarding. One such flight had 辫补蝉蝉别苍驳别谤蝉鈥�in first class and in coach class. Some passengers were surprised when none of the passengers chosen for screening were seated in first class. We want to perform a simulation to estimate the probability that no first-class passengers would be chosen in a truly random selection.
a. Describe how you would use a table of random digits to carry out this simulation.
b. Perform one trial of the simulation using the random digits that follow. Copy the digits onto your paper and mark directly on or above them so that someone can follow what you did.
c. In of the trials of the simulation, none of the passengers chosen was seated in first class. Does this result provide convincing evidence that the TSA officers did not carry out a truly random selection? Explain your answer.
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