Simulations

Question 1

At a carnival, a customer notices that a prize wheel has 5 equal parts, one of which is labeled "winner.” She would like to conduct a simulation to determine how many spins it would take for the wheel to land on "winner.” She assigns the digits to the outcomes.0, 1 = winner2-9 = not a winnerHere is a portion of a random number table.Beginning at line 1, carry out one trial of this simulation. Use additional lines as needed. How many spins does it take until the first prize is won?

Revolt · Accepted Answer

2

Question 2

At a large university, 20% of students are enrolled in the nursing program. The dean of students selects a random sample of 20 students and records n = the number of students enrolled in the nursing program. What is an appropriate assignment of digits to the outcomes for a simulation of this random process?

Revolt · Accepted Answer

Let 1 = the student is enrolled in the nursing program. Let 2–5 = the student is not enrolled in the nursing program. Skip the digits 6–9, and 0.

Question 3

At West High School, 10% of the students participate in sports. A student wants to simulate the act of randomly selecting 20 students and counting the number of students in the sample who participate in sports. The student assigns the digits to the outcomes. 0 = student participates in sports1–9 = student does not participate in sports

Revolt · Accepted Answer

Select a row from the random number table. Read 20 single digits. Count the number of digits that are zeros.

Question 4

At a large university, 20% of students are enrolled in the nursing program. The dean of students selects a random sample of 20 students and records n = the number of students enrolled in the nursing program. The dean decides to simulate this random process by using a random number table. He assigns the digits to the outcomes. 1 = student enrolled in nursing program2–5 = student not enrolled in nursing programSkip 6–9 and 0

Revolt · Accepted Answer

He can select a row of the random number table and read 20 single digits between 1 and 5. He will record the number of digits that are a 1.

Question 5

At a carnival, a customer notices that a prize wheel has 5 equal parts, one of which is labeled "winner.” She would like to conduct a simulation to determine how many spins it would take for the wheel to land on "winner.” What is an appropriate assignment of digits?

Revolt · Accepted Answer

Let 0 and 1 = winner. Let 2-9 = not a winner.

Question 6

At West High School, 10% of the students participate in sports. A student wants to simulate the act of randomly selecting 20 students and counting the number of students in the sample who participate in sports. What is an appropriate assignment of digits for this simulation?

Revolt · Accepted Answer

Let 0 = the student participates in sports. Let 1–9 = the student does not participate in sports.

Question 7

At a carnival, a customer notices that a prize wheel has 5 equal parts, one of which is labeled "winner.” She would like to conduct a simulation to determine how many spins it would take for the wheel to land on "winner.” She assigns the digits to the outcomes.0, 1 = winner2-9 = not a winnerHere is a portion of a random number table.Beginning at line 1 and starting each new trial right after the previous trial, carry out 5 trials of this simulation. What proportion of the 5 trials takes more than 10 spins to win a prize?

Revolt · Accepted Answer

0

Question 8

At a large university, 20% of students are enrolled in the nursing program. The dean of students selects a random sample of 20 students and records n = the number of students enrolled in the nursing program. The dean decides to simulate this random process by using a random number table. He assigns the digits to the outcomes.1, 2 = student enrolled in nursing program3-9, 0 = student not enrolled in nursing programHere is a portion of a random number table.In one trial of this simulation, 3 of the 20 randomly selected students are enrolled in the nursing program. Use line 2 to complete a second trial and then use line 3 to complete a third trial. Based on the results of these 3 simulations, what is the average number of students expected to be enrolled in the nursing program in random samples of size 20?

Revolt · Accepted Answer

4

Question 9

At West High School, 10% of the students participate in sports. A student wants to simulate the act of randomly selecting 20 students and counting the number of students in the sample who participate in sports. The student assigns the digits to the outcomes.0 = student participates in sports1–9 = student does not participate in sportsHere is a portion of a random number table.In the first trial, line 1, two of the 20 digits are zeros, meaning that two of the 20 selected students participate in sports. Starting at line 2 and using a new line for each trial, carry out 4 more trials to determine the number of students who participate in sports in random samples of size 20. In what proportion of all 5 trials do we find that 0 students participate in sports?

Revolt · Accepted Answer

0.2

Question 10

At a carnival, a customer notices that a prize wheel has 5 equal parts, one of which is labeled "winner.” She would like to conduct a simulation to determine how many spins it would take for the wheel to land on "winner.” She assigns the digits to the outcomes. 0, 1 = winner2-9 = not a winner

Revolt · Accepted Answer

Read single-digit numbers until finding the first 0 or 1. Count the number of digits needed to get the first 0 or 1.

Simulations Answers

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