what is the expected number of female children in a family with three children?\n1\n1.5\n2\n2.5\ndone
what is the expected number of female children in a family with three children?\n1\n1.5\n2\n2.5\ndone
Answer
Explanation:
Step1: Define the probability of a child being female
The probability $p$ that a child is female is $p = 0.5$ since there are two equally - likely genders (male and female).
Step2: Identify the number of trials
The number of children (trials) $n=3$.
Step3: Use the formula for the expected value of a binomial distribution
The formula for the expected value $E(X)$ of a binomial distribution is $E(X)=np$. Substitute $n = 3$ and $p=0.5$ into the formula. $E(X)=3\times0.5$ $E(X) = 1.5$
Answer:
1.5