Alex tossed a die 30 times and recorded the results in the table below: Die Number 1 2 3 4 5 6 Total number of tosses 4 3 5 4 4 10   a)Use the table to calculate the relative frequency of tossing a “6” as a percentage correct to one decimal place. b)What is the expected number of times a “6” should result when a die is rolled 30 times? c)Is Alex justified in thinking that the die she is tossing is biased? Give a reason for your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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3                 Alex tossed a die 30 times and recorded the results in the table below:

Die Number

1

2

3

4

5

6

Total number of tosses

4

3

5

4

4

10

 

  1. a)Use the table to calculate the relative frequency of tossing a “6” as a percentage correct to one decimal place.
  2. b)What is the expected number of times a “6” should result when a die is rolled 30 times?
  3. c)Is Alex justified in thinking that the die she is tossing is biased? Give a reason for your answer.
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