The probability that you will have to wait at least 20 minutes for the
bus is [tex]\frac{3}{7}[/tex] ⇒ answer A
Step-by-step explanation:
The probability of at least is 1 - the probability of at most
P(at least x) = 1 - P(at most x)
The given is:
1. A bus arrives at a bus stop every 35 minutes
2. You arrive at the bus stop at a random time
3. You will have to wait at least 20 minutes for the bus
∵ The bus arrives at a bus stop every 35 minutes
∵ You arrive at the bus stop at a random time
∵ You will wait at most for 20 minutes for the bus
∴ P(at most 20 minutes) = [tex]\frac{20}{35}[/tex]
∵ P(at least 20 minutes) = 1 - P(at most 20 minutes)
∴ P(at least 20 minutes) = 1 - [tex]\frac{20}{35}[/tex]
∴ P(at least 20 minutes) = [tex]\frac{15}{35}[/tex]
- Simplify the fraction by divide up and down by 5
∴ P(at least 20 minutes) = [tex]\frac{3}{7}[/tex]
The probability that you will have to wait at least 20 minutes for the
bus is [tex]\frac{3}{7}[/tex]
Learn more:
You can learn more about probability in brainly.com/question/10744457
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