Pregunta
Ourrert learning objective: Binomial Distribution
Questions
Some:
Qof 4 points
The dones family was one of the first to come to the US. They had 6 chilidren. Assurting that the probsblity of a child heing a gin is Quy, find the protitlity that the dotes farnily that
a. at least 5 ginls?
The probability that the sones family had at least 5 ginls is
Exteryour answer
(Repont answer acourate to four cecimal ylaces.)
b. at most 3 ginls?
ORequinements
Emer an imeper or cecimal number
The probability that the sones familiy had at most 3 girls is
Enteryour answer
- (ineport answer accurate to four decimal places.)
Qof 4 points
a. at least 5 ginls?
Exteryour answer
(Repont answer acourate to four cecimal ylaces.)
b. at most 3 ginls?
Emer an imeper or cecimal number
The probability that the sones familiy had at most 3 girls is
Enteryour answer
Ask by King Campos. in the United States
Mar 15,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
a. The probability of having at least 5 girls is 0.1094.
b. The probability of having at most 3 girls is 0.6563.
Solución

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Como
Bonus Knowledge
Imagine the days of early American settlers when families were larger, and each child was seen as a blessing. The binomial distribution can help us understand events like the Sones family’s, where there’s a chance of having boys or girls. With a fixed number of children – in this case, 6 – and a consistent probability of having a girl, we can calculate those probabilities using the binomial formula
. This mathematical insight gives us the tools to analyze family dynamics from long ago!
Now, let’s dive into practical applications! The binomial distribution isn’t just for families; it’s widely used in various fields like medicine, finance, and quality control, helping experts make predictions and assess risk. For instance, say a factory checks products for defects; they can use binomial probabilities to evaluate how many defective items might come from a batch. So every time you see families expand or products get manufactured, remember the power of probability resting behind those moments!

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