A tetrahedral (four-sided) die has written on it the numbers 1,2,3 and 4. The die is rolled many times and the scores are noted. The table below shows the resulting frequency distribution. Score 1 2 3 4 Frequency 18 y 22 The die was rolled a total of 100 times. (а) Write down an equation, in terms of x and y, for the total number of times the die was rolled. The mean score is 2.71. (b) Using the mean score, write down a second equation in terms of x and y. (c) Find the value of x and of y.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A tetrahedral (four-sided) die has written on it the numbers 1, 2, 3 and 4. The die is rolled
many times and the scores are noted. The table below shows the resulting frequency
distribution.
Score
1
2
3
4
Frequency
18
y
22
The die was rolled a total of 100 times.
(a)
Write down an equation, in terms of x and y, for the total number of times the die
was rolled.
The mean score is 2.71.
(b)
Using the mean score, write down a second equation in terms of x and y.
(c) Find the value of x and of y.
Transcribed Image Text:A tetrahedral (four-sided) die has written on it the numbers 1, 2, 3 and 4. The die is rolled many times and the scores are noted. The table below shows the resulting frequency distribution. Score 1 2 3 4 Frequency 18 y 22 The die was rolled a total of 100 times. (a) Write down an equation, in terms of x and y, for the total number of times the die was rolled. The mean score is 2.71. (b) Using the mean score, write down a second equation in terms of x and y. (c) Find the value of x and of y.
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