To determine the experimental probability of landing on a number greater than or equal to 4, we'll follow these detailed steps:
1. List the frequencies of each outcome:
- Outcome 1: Frequency 9
- Outcome 2: Frequency 11
- Outcome 3: Frequency 8
- Outcome 4: Frequency 6
- Outcome 5: Frequency 9
- Outcome 6: Frequency 7
2. Compute the total number of tosses:
- Total tosses = Frequency of outcome 1 + Frequency of outcome 2 + Frequency of outcome 3 + Frequency of outcome 4 + Frequency of outcome 5 + Frequency of outcome 6
- Total tosses = 9 + 11 + 8 + 6 + 9 + 7
- Total tosses = 50
3. Identify the outcomes that are greater than or equal to 4:
- Outcomes greater than or equal to 4 are 4, 5, and 6.
4. Sum the frequencies of these favorable outcomes:
- Frequency of outcome 4: 6
- Frequency of outcome 5: 9
- Frequency of outcome 6: 7
- Favorable outcomes = 6 + 9 + 7
- Favorable outcomes = 22
5. Calculate the experimental probability:
- Experimental probability = Number of favorable outcomes / Total number of tosses
- Experimental probability = 22 / 50
- Experimental probability = 0.44
So, the experimental probability of landing on a number greater than or equal to 4 is [tex]\( 0.44 \)[/tex].
From the given options:
- [tex]\( P(24) = 0.68 \)[/tex]
- [tex]\( P(z 4) = 0.44 \)[/tex]
- [tex]\( P(24) = 0.32 \)[/tex]
- [tex]\( P(z 4) = 0.06 \)[/tex]
The correct answer is [tex]\(\boxed{P(z 4) = 0.44}\)[/tex].
