Question

The two-way table shows the number of people whose hobbies are reading or solving puzzles and who either ride a motorcycle or don’t ride a motorcycle.



Among people whose hobby is reading, what is the relative frequency of not riding a motorcycle? Express your answer as a decimal, and round to the nearest hundredth if necessary.







          Reading Solving ∫ puzzles
Ride a motorcycle 7 ∫ 3
Don’t ride a motorcycle 5 ∫ 9

Answer 1

Among people whose hobby is reading, the relative frequency of not riding a motorcycle is given by: number who read but don′t ridetotal number who read You can do the calculation.

Answer 2

Among people whose hobby is reading, the relative frequency of not riding a motorcycle is 0.42

Step-by-step explanation:

                                             Reading                  Solving puzzles

Ride a motorcycle                    7                                        3

Don’t ride a motorcycle           5                                        9

No. of people whose hobby is reading = 7+5=12

No. of people who don't ride a motorcycle = 5

We are supposed to find  Among people whose hobby is reading, what is the relative frequency of not riding a motorcycle?

$\text{ Relative frequency}=\dfrac{\text{number of favorable outcome}}{\text{total possible outcomes}}$

Number of favorable outcome = 5

total possible outcomes = 12

$\text{ Relative frequency}=\dfrac{5}{12}$

$\text{ Relative frequency}=0.42$

Hence Among people whose hobby is reading, the relative frequency of not riding a motorcycle is 0.42

#learn more :

1. A poll asked 15 men in two age groups, 30 and younger and older than 30, whether they had facial hair (mustache, beard, sideburns, etc.). The results are recorded in the table. Person Age group Facial hair 1 30 and younger Yes 2 30 and younger No 3 Older than 30 No 4 30 and younger No 5 Older than 30 No 6 Older than 30 Yes 7 Older than 30 Yes 8 Older than 30 No 9 30 and younger Yes 10 30 and younger Yes 11 Older than 30 Yes 12 30 and younger Yes 13 Older than 30 Yes 14 30 and younger No 15 Older than 30 Yes (a) Create a two-way table of the data. Of the men surveyed, how many were 30 and younger? How many men did not have facial hair? (b) Create a two-way relative frequency table that displays the relative frequency of the men 30 and younger and of the men older than 30 who had or did not have facial hair. Express your answers as decimals written to three decimal places. (c) What percentage of men older than 30 had facial hair?

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