Please solve the below question with explanation Let X be the number of children in an...
Please solve the below question with explanation
Let X be the number of children in an ordinary American family. Let P(X=i)=Pi, for i=1,2,3,4, and P(X>4)=0, what is the probability that there are at least two girls in a family? Assuming the gender of each baby is identical independent distributed, with probability being a girl q. Let Y be the number of girls in a family.
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Please solve the below question with explanation Let X be the number of children in an...
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of girls is recorded. (Assume an equal ch...
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of girls is recorded. (Assume an equal chance of a boy or girl for each birth) Complete the probability distribution. P(x) (Type an integer or a simplified fraction )
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of...
Let the random variable x represent the number of girls in a family with three children....
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 0.31. The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? 0 1 2 3 P(x) 0.329 0.443 0.199...
8. Let the random variable x represent the number of girls in a family with three...
8. 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 0.35 The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? x P(x) 0 0.275 1 0.444 2 ...
Discrete Math: A couple is planning to have a family. Let us assume that the probability...
Discrete Math:
A couple is planning to have a family. Let us assume that the probability of having a girl is 0.48 and a boy is 0.52, and that the gender of this couple's children are pairwise independent. They want to have at least one girl and at least one boy. At the same time, they know that raising too many kids is difficult. So here's what they plan to do: they'll keep trying to have children until they have...
In a family with 6 children, let success be defined as having a baby girl, and...
In a family with 6 children, let success be defined as having a baby girl, and find the probability that: (A) the first girl is the first child born. (B) the first girl is the 2nd or the 4th child born. (C) the first girl is the last child born. (D) there are no girls born into this family. Is it possible if you could write down each equation used next to each step? Its helpful for me to see...
n a family with 6 children, let success be defined as having a baby girl, and...
n a family with 6 children, let success be defined as having a baby girl, and find the probability that: (A) the first girl is the first child born. (B) the first girl is the 2nd or the 4th child born. (C) the first girl is the last child born. (D) there are no girls born into this family. Is it possible if you could write down each equation used next to each step? Its helpful for me to see...
2. Suppose that a family is going to keep having children until they have at least...
2. Suppose that a family is going to keep having children until they have at least one girl. Further suppose we can model successive births as boy and one independent trials with p P(girl) and P(boy) = 1 - p. Let Y denote the total number of children in the family. Compute, for y 2, (i) the probability that the first boy born is the y-th child born; [2] (ii the probability that the first girl born is the y-th...
Assume each newborn baby has a probability of approximately 0.51 of being female and 0.49 of...
Assume each newborn baby has a probability of approximately 0.51 of being female and 0.49 of being male. For a family with three children, let Xequalsnumber of children who are girls. a. Identify the three conditions that must be satisfied for X to have the binomial distribution. b. Identify n and p for the binomial distribution. c. Find the probability that the family has one girl and two boys.
Let x determine a random variable, and use your knowledge of probability to prepare a probability...
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of girls is recorded. (Assume an equal chance of a boy or girl for each birth) Complete the probability distribution. P(x) (Type an integer or a simplified fraction )
The Binomial distribution: Each newborn baby has a probability of approximately 0.54 of being male. For...
The Binomial distribution: Each newborn baby has a probability of approximately 0.54 of being male. For a family with six children, let X=number of children who are girls. ·Identify n and p for the binomial distribution. ·Find the probability distribution of ? ·Find the mean and standard deviation of distribution of ?
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of girls is recorded. (Assume an equal chance of a boy or girl for each birth) Complete the probability distribution. P(x) (Type an integer or a simplified fraction )
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of...
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 0.31. The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? 0 1 2 3 P(x) 0.329 0.443 0.199...
Discrete Math:
A couple is planning to have a family. Let us assume that the probability of having a girl is 0.48 and a boy is 0.52, and that the gender of this couple's children are pairwise independent. They want to have at least one girl and at least one boy. At the same time, they know that raising too many kids is difficult. So here's what they plan to do: they'll keep trying to have children until they have...
2. Suppose that a family is going to keep having children until they have at least one girl. Further suppose we can model successive births as boy and one independent trials with p P(girl) and P(boy) = 1 - p. Let Y denote the total number of children in the family. Compute, for y 2, (i) the probability that the first boy born is the y-th child born; [2] (ii the probability that the first girl born is the y-th...
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of girls is recorded. (Assume an equal chance of a boy or girl for each birth) Complete the probability distribution. P(x) (Type an integer or a simplified fraction )
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