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barxatty [35]
3 years ago
15

Roll the number cube to find the observed frequency. Which statements are true? Check all that apply

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

Total = 11 + 16 + 14 + 20 + 12 + 17

Total = 90

<u>(a): Relative frequency of 4 is 2/9</u>

Relative frequency is calculated by:

RF= \frac{Observed\ Frequency}{Total}

For roll 4

Observed\ frequency = 20

So, the relative frequency is:

RF = \frac{20}{90}

Simplify

RF = \frac{2}{9}

<em>(a) is true</em>

<u>(b): Experimental probability of 3 greater than its theoretical probability</u>

The experimental probability is its relative frequency;

For roll 3

Observed\ frequency = 14

The experimental probability is:

Pr = \frac{14}{90}

Simplify

Pr = \frac{7}{45} = 0.156

To calculate  the theoretical probability, w have:

S = \{1,2,3,4,5,6\} ---- sample space

n(S)= 6

n(3) = 1 --- number of times 3 occur

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The theoretical probability is greater\ than\ the experimental probability.

<em>(b) is false</em>

<u>(c): Experimental probability of 2 greater than its theoretical probability</u>

Using the explanations in (b), we have:

For roll 2

Observed\ frequency = 16

The experimental probability is:

Pr = \frac{16}{90}

Simplify

Pr = \frac{8}{45} = 0.178

To calculate the theoretical probability, we have:

n(S)= 6

n(2) = 1

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The experimental probability is greater\ than\ the theoretical probability.

<em>(c) is true</em>

<u>(d): Relative frequency of 5 is 2/13</u>

For roll 5

Observed\ frequency = 12

The relative frequency is:

RF = \frac{12}{90}

Simplify

RF = \frac{2}{15}

<em>(d) is true</em>

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