Pregunta
At a beach, the probability of having high
waves on any given day is 0.22 .
3. What is the probability of having
high waves on three consecutive
days at this beach?
A. 0.0106
B. 0.0206
C. 0.0484
D. 0.4746
waves on any given day is 0.22 .
3. What is the probability of having
high waves on three consecutive
days at this beach?
A. 0.0106
B. 0.0206
C. 0.0484
D. 0.4746
Ask by Mcguire Love. in Egypt
Jan 24,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The probability of having high waves on three consecutive days is 0.0106.
Solución
To determine the probability of having high waves on three consecutive days at the beach, we’ll assume that the events are independent. This means the probability of high waves on each day does not affect the probability on any other day.
Given:
- Probability of high waves on any given day,
The probability of having high waves on three consecutive days is calculated by multiplying the probability for each day:
Let’s compute this step by step:
-
First, calculate
: -
Next, multiply the result by
:
Rounding to four decimal places gives
Answer:
A. 0.0106
A. 0.0106
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución The Deep Dive
To find the probability of having high waves on three consecutive days, we can multiply the probability of high waves on a single day by itself for three days:
So, rounding it gives us approximately 0.0106. The correct answer is A. 0.0106.
For future reference, when dealing with probabilities over multiple independent events, be sure to multiply the probabilities together. It’s a crucial skill for all types of probability puzzles or real-life applications like weather forecasting! Always check if events are indeed independent before applying this rule.
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