Q3 EXAM STAT REVIEWER 1
Quiz by JONALD ROSARIO
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- Q1
A senior high school student is conducting a survey about transportation to school. They record the number of minutes it takes for each student to travel from home to school each day. Based on this situation, answer the question below.
Which of the following best defines a random variable?
A personal preference of the student
A numerical value from a random process
A constant value used in calculations
A description of daily travel experiences
30s - Q2
A senior high school student is conducting a survey about transportation to school. They record the number of minutes it takes for each student to travel from home to school each day. Based on this situation, answer the question below.
What type of random variable represents the number of minutes it takes for each student to travel from home to school each day?
Continuous random variable
45s - Q3
Which of the following is an example of a discrete random variable?
A. The distance traveled to school in kilometers.B. The amount of water consumed in a day.C. The number of absences in a school month. D.
The number of absences in a school
The amount of water consumed in a day
The distance traveled to school in kilometers
The speed of a vehicle during travel.
30s - Q4
Why is the number of minutes it takes for each student to travel from home to school each day considered a continuous random variable?
It is chosen according to student preference.
It is based only on whole numbers of minutes.
It can take any value within a given time interval.
It depends on a fixed and constant travel time.
30s - Q5
How does a discrete random variable differ from a continuous random variable?
A discrete random variable is measured, while a continuous random variable is counted.
A discrete random variable is theoretical, while a continuous random variable is practical.
A discrete random variable takes countable values, while a continuous random variable is measured.
A discrete random variable is always larger than a continuous random variable.
30s - Q6
A student records the number of classmates who submit their assignments on time each day. Which of the following correctly identifies the random variable and its type?
Random variable: Daily class duration; Type: Continuous
Random variable: Number of classmates; Type: Discrete
Random variable: Number of assignments; Type: Continuous
Random variable: Submission time; Type: Continuous
45s - Q7
A teacher measures the amount of time (in hours) students spend reviewing for a quiz. If the random variable is the time spent reviewing, which of the following could be a possible set of values?
{5, 10, 15, 20}
{0, 1, 2, 3, 4}
{0.25, 1.5, 2.75, 3.25}
{1, 2, 3, 4}
45s - Q8
Consider a random variable representing the number of school activities attended by a student in a month. Which option correctly identifies the variable and its possible values?
Random variable: Number of activities; Possible values: {0.5, 1.0, 1.5, …}
Random variable: Time spent in activities; Possible values: {1.2, 2.5, 3.8, …}
Random variable: Number of activities; Possible values: {0, 1, 2, 3, …}
Random variable: Number of activities; Possible values: {1.5, 2.5, 3.5, …}
45s - Q9
A student tracks the number of quizzes given each day for one week and records the following data: {1, 0, 2, 1, 3, 0, 2}. Which of the following represents the possible values of the random variable “number of quizzes given in a day”?
{1, 2, 3}
{0, 1, 2, 3}
{0, 1, 2, 3, 4}
{0, 2, 3}
45s - Q10
A student recorded the number of homework assignments submitted by classmates in a week. The recorded values were {1, 2, 0, 3, 2, 1, 0, 2, 4, 3}. Another student claims that the possible values of the random variable “number of homework submissions” are {0, 1, 2, 3, 4}.
How would you evaluate this claim?
The claim is correct because the values represent a continuous random variable.
The claim is correct because all unique values in the data are included.
The claim is incorrect because the possible values should include numbers beyond 4.
The claim is incorrect because the value 4 was observed only once.
45s - Q11
What is the sum of all probabilities in the probability distribution of a discrete random variable?
Users enter free textType an Answer45s - Q12
For a spinner divided into 8 equal sections, what is the probability of landing on any specific section?
1/4
1/6
1/2
1/8
45s - Q13
Why is the outcome of spinning a spinner with 8 equal sections considered a discrete random variable?
Because the outcomes depend on the player’s choice
Because the outcomes can take any value in a range
Because the outcomes are uncountable
Because the outcomes are whole numbers
45s - Q14
Which statement best describes the probability distribution of spinning a fair spinner with 8 equal sections?
The highest-numbered section has the greatest probability
Each outcome has a different probability based on its position
The probabilities of the outcomes depend on previous spins
Each outcome has an equal probability of occurring
45s - Q15
A game involves spinning a fair spinner with 8 equal sections numbered 1 to 8. If the random variable X represents the outcome, what is the probability that X is an even number?
3/4
1/4
1/2
1/8
45s