Question

find out their favorite movie series, and recorded the results in a table.

movie series	number of fans
lord of the rings	5
pirates of the caribbean	0
harry potter	6
narnia	2
high school musical	1

a) what was the relative frequency for narnia?
b) what was the relative frequency for pirates of the caribbean?

1. 100 people were asked whether they were left-handed, 8 people answered yes. what is the relative frequency of the left-handed people in the survey?
2. the relative frequency of rain in april is 0.6. there are 30 days in april. estimate the number of days of rain expected in april.

Explanation:

First, we need to calculate the total number of survey respondents for questions 6a and 6b:
Total = 7 + 5 + 0 + 6 + 2 + 1 = 21

Step1: Calculate total respondents

$7 + 5 + 0 + 6 + 2 + 1 = 21$

Step2: Narnia relative frequency

Relative frequency = $\frac{\text{Narnia count}}{\text{Total count}}$
$\frac{2}{21} \approx 0.095$

Step3: Pirates relative frequency

Relative frequency = $\frac{\text{Pirates count}}{\text{Total count}}$
$\frac{0}{21} = 0$

Step4: Left-handed relative frequency

Relative frequency = $\frac{\text{Left-handed count}}{\text{Total surveyed}}$
$\frac{8}{100} = 0.08$

Step5: Calculate rainy days in April

Rainy days = $\text{Total days} \times \text{Relative frequency}$
$30 \times 0.6 = 18$

Answer:

6a) $\frac{2}{21}$ or approximately 0.095
6b) $0$

1. $0.08$
2. $18$ days