AP STATS UNIT 4 PROGRESS CHECK:
MCQ PART A 100% ACCURATE
A consumer group is investigating the number of flights at a certain airline that are
overbooked. They conducted a simulation to estimate the probability of overbooked
flights in the next 5 flights. The results of 1,000 trials are shown in the following
histogram.
Based on the histogram, what is the probability that at least 4 of the next 5 flights at the
airline will be overbooked? - ANSWER0.446
Consider rolling two number cubes, each of which has its faces numbered from 1 to 6.
The cubes will be rolled and the sum of the numbers landing face up will be recorded.
Let the event E represent the event of rolling a sum of 5. How many outcomes are in the
collection for event E ? - ANSWER4
In a certain population of birds, about 40 percent of the birds have a wingspan greater
than 10 inches. Biologists studying the birds will create a simulation with random
numbers to estimate the probability of finding 1 bird in a sample of 6 birds with a
wingspan greater than 10 inches. Which of the following assignments of the digits 0 to 9
will model the population? - ANSWERLet the digits from 0 to 3 represent birds with a
wingspan greater than 10 inches and the remaining digits represent birds with a
wingspan less than or equal to 10 inches.
Each person in a group of twenty people at a hotel orders one meal chosen from
oatmeal, eggs, or pancakes and one hot beverage chosen from coffee or tea. One
person will be selected at random from the twenty people. What is the sample space for
the meal and beverage for the person selected?` - ANSWER{(oatmeal, coffee),
(oatmeal, tea), (eggs, coffee), (eggs, tea), (pancakes, coffee), (pancakes, tea)}
A certain spinner is divided into 6 sectors of equal size, and the spinner is equally likely
to land in any sector. Four of the 6 sectors are shaded, and the remaining sectors are
not shaded.
Which of the following is the best interpretation of the probability that one spin of the
spinner will land in a shaded sector? - ANSWERFor many spins, the long-run relative
frequency with which the spinner will land in a shaded sector is 2323.
At a local elementary school, 35 percent of all students have brown eyes, 45 percent
have brown hair, and 60 percent have brown hair or brown eyes. A student will be
selected at random from the school. Let E represent the event that the selected person
has brown eyes, and let H represent the event that the selected person has brown hair.
Are E and H mutually exclusive events? - ANSWERNo, because
P(E∩H)=0.2P(E∩H)=0.2.
MCQ PART A 100% ACCURATE
A consumer group is investigating the number of flights at a certain airline that are
overbooked. They conducted a simulation to estimate the probability of overbooked
flights in the next 5 flights. The results of 1,000 trials are shown in the following
histogram.
Based on the histogram, what is the probability that at least 4 of the next 5 flights at the
airline will be overbooked? - ANSWER0.446
Consider rolling two number cubes, each of which has its faces numbered from 1 to 6.
The cubes will be rolled and the sum of the numbers landing face up will be recorded.
Let the event E represent the event of rolling a sum of 5. How many outcomes are in the
collection for event E ? - ANSWER4
In a certain population of birds, about 40 percent of the birds have a wingspan greater
than 10 inches. Biologists studying the birds will create a simulation with random
numbers to estimate the probability of finding 1 bird in a sample of 6 birds with a
wingspan greater than 10 inches. Which of the following assignments of the digits 0 to 9
will model the population? - ANSWERLet the digits from 0 to 3 represent birds with a
wingspan greater than 10 inches and the remaining digits represent birds with a
wingspan less than or equal to 10 inches.
Each person in a group of twenty people at a hotel orders one meal chosen from
oatmeal, eggs, or pancakes and one hot beverage chosen from coffee or tea. One
person will be selected at random from the twenty people. What is the sample space for
the meal and beverage for the person selected?` - ANSWER{(oatmeal, coffee),
(oatmeal, tea), (eggs, coffee), (eggs, tea), (pancakes, coffee), (pancakes, tea)}
A certain spinner is divided into 6 sectors of equal size, and the spinner is equally likely
to land in any sector. Four of the 6 sectors are shaded, and the remaining sectors are
not shaded.
Which of the following is the best interpretation of the probability that one spin of the
spinner will land in a shaded sector? - ANSWERFor many spins, the long-run relative
frequency with which the spinner will land in a shaded sector is 2323.
At a local elementary school, 35 percent of all students have brown eyes, 45 percent
have brown hair, and 60 percent have brown hair or brown eyes. A student will be
selected at random from the school. Let E represent the event that the selected person
has brown eyes, and let H represent the event that the selected person has brown hair.
Are E and H mutually exclusive events? - ANSWERNo, because
P(E∩H)=0.2P(E∩H)=0.2.
