statistic

posted by .

The random variable x represents the number of boys in a family with three children.
Assuming that births of boys and girls are equally likely, find the mean and standard
deviation for the random variable x.

  • statistic -

    This is a binomial distribution with parameters
    n=3 (number of trials in the experiment)
    p=1/2 (probability of boys, X)
    q=1-p (probability of girls)

    For a random variable X with a binomial distribution (n,p,q), then
    E(x)=μ=np
    σ²=npq
    where σ=standard deviation (of population)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    let the random variable x denote the number of girls in a five-child family. if the probability of a female birth is .5 find the probability of 0,1,2,3,4, and 5 girls in a five-child family. construct the binomial distribution and …
  2. statistics

    Please analyze the following data using the T-test for Unpaired data: A school district wants to determine if the girls are equal to boys in test scores. They took a random sample of 22 8th grade girls and 24 8th grade boys. The district …
  3. Statistics

    In planning a family of 4 children assume boys and girls are equally likely on each birth. Find (i) the probability distribution (ii) the expected number of boys (iii) the standard deviation of the number of boys.
  4. statistics

    For every 100 births in the U.S., the number of boys follows, approxiamately, a normal curve with a mean of 51 and standard deviation of 5 boys. If the next 100 births in your local hospital resulted in 36 boys (and thus 64 girls) …
  5. statistics

    If boys and girls are equally likely and groups 400 births are randomly selected find the standard deviation
  6. statistics

    Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.46. The table describes the probability of having x number of girls.Determine whether the …
  7. statistics

    Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.42. The table on the right describes the probability of having x number of girls. Determine …
  8. statistic

    5. Decide whether the following experiment is a binomial experiment. Explain your answer. A researcher observes the gender of the next 100 babies born at a local hospital. The boys and girls are equally likely. The random variable …
  9. math (stats)

    Enter your answers as decimals or fractions, rather than percents. In a family with 7 children what is the probability of having 4 boys and then 3 girls, in that order?
  10. Maths

    It is assumed that when children are born they are equally likely to be boys or girls.What is the probability that a family of four children contains (a) three boys and one girl (b) two boys and two girls

More Similar Questions