Question

name

1. what is the probability that someone who rated the internet speed as very poor was under 25 years old?
2. what is the probability that someone over 55 rated the speed as very good?

table ix
percentages of employees working at irregular times (percentages, 1998)
belgium the netherlands
working evenings 30.25 24.82
night work 14.15 11.10
saturday work 34.51 39.43
sunday work 21.96 22.94
shift work 19.49 9.70
non - standard working hours 4.5 1.7
source: labour force survey, eurostat (1998)

1. what is the probability that someone from the netherlands is working shift work?
2. what is the probability that someone working on sunday is from belgium?

Explanation:

Step1: Identify relevant counts for Q1

Total Very Poor raters = 118; Under 25 (Under 18 + 18-24) in Very Poor = 30 + 25 = 55

Step2: Calculate Q1 probability

Probability = $\frac{55}{118} \approx 0.466$

Step3: Identify relevant counts for Q2

Total over 55 = 65; Very Good raters over 55 = 12

Step4: Calculate Q2 probability

Probability = $\frac{12}{65} \approx 0.185$

Step5: Get Q3 value from table

Netherlands shift work percentage = 9.70% = 0.097

Step6: Assume equal population for Q4

Let population size = N; Belgium Sunday work: 21.96%N, Netherlands:22.94%N. Total Sunday work = 44.9%N. Probability = $\frac{21.96\%N}{44.9\%N} \approx 0.489$

Answer:

1. Approximately 0.47
2. Approximately 0.19
3. 0.097
4. Approximately 0.49